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Finding the Fourth Proportional to 32,897.64, 49,346 and 7,937.48

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Solution

The fourth proportional to 32,897.64, 49,346 and 7,937.48 is: 11,906.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,897.64 : 49,346 = 7,937.48 : x
  2. Step 2: Convert to fraction form
    32,897.64/49,346 = 7,937.48/x
  3. Step 3: Cross multiply
    32,897.64x = 49,346 × 7,937.48
  4. Step 4: Simplify right side
    32,897.64x = 391,682,641.35
  5. Step 5: Solve for x
    x = 391,682,641.35/32,897.64
  6. Step 6: Final answer
    x = 11,906.10

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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.