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Finding the Fourth Proportional to 51,398.87, 77,045.78 and 29,165.28

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Solution

The fourth proportional to 51,398.87, 77,045.78 and 29,165.28 is: 43,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,398.87 : 77,045.78 = 29,165.28 : x
  2. Step 2: Convert to fraction form
    51,398.87/77,045.78 = 29,165.28/x
  3. Step 3: Cross multiply
    51,398.87x = 77,045.78 × 29,165.28
  4. Step 4: Simplify right side
    51,398.87x = 2,247,061,600.69
  5. Step 5: Solve for x
    x = 2,247,061,600.69/51,398.87
  6. Step 6: Final answer
    x = 43,718.12

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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.