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Finding the Fourth Proportional to 24,471,972.30, 36,706,792.05 and 8,296,337.10

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Solution

The fourth proportional to 24,471,972.30, 36,706,792.05 and 8,296,337.10 is: 12,444,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471,972.30 : 36,706,792.05 = 8,296,337.10 : x
  2. Step 2: Convert to fraction form
    24,471,972.30/36,706,792.05 = 8,296,337.10/x
  3. Step 3: Cross multiply
    24,471,972.30x = 36,706,792.05 × 8,296,337.10
  4. Step 4: Simplify right side
    24,471,972.30x = 304,531,920,706,400
  5. Step 5: Solve for x
    x = 304,531,920,706,400/24,471,972.30
  6. Step 6: Final answer
    x = 12,444,110.22

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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.