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Finding the Fourth Proportional to 53,829,897.30, 80,648,617.95 and 32,758,881.30

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Solution

The fourth proportional to 53,829,897.30, 80,648,617.95 and 32,758,881.30 is: 49,079,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,829,897.30 : 80,648,617.95 = 32,758,881.30 : x
  2. Step 2: Convert to fraction form
    53,829,897.30/80,648,617.95 = 32,758,881.30/x
  3. Step 3: Cross multiply
    53,829,897.30x = 80,648,617.95 × 32,758,881.30
  4. Step 4: Simplify right side
    53,829,897.30x = 2,641,958,502,433,099.50
  5. Step 5: Solve for x
    x = 2,641,958,502,433,099.50/53,829,897.30
  6. Step 6: Final answer
    x = 49,079,761.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.