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Finding the Fourth Proportional to 27,220,046.70, 40,830,070.05 and 8,049,096.30

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Solution

The fourth proportional to 27,220,046.70, 40,830,070.05 and 8,049,096.30 is: 12,073,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,220,046.70 : 40,830,070.05 = 8,049,096.30 : x
  2. Step 2: Convert to fraction form
    27,220,046.70/40,830,070.05 = 8,049,096.30/x
  3. Step 3: Cross multiply
    27,220,046.70x = 40,830,070.05 × 8,049,096.30
  4. Step 4: Simplify right side
    27,220,046.70x = 328,645,165,768,195.81
  5. Step 5: Solve for x
    x = 328,645,165,768,195.81/27,220,046.70
  6. Step 6: Final answer
    x = 12,073,644.45

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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.