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Finding the Fourth Proportional to 60,931.32, 91,404.50 and 29,743

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Solution

The fourth proportional to 60,931.32, 91,404.50 and 29,743 is: 44,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,931.32 : 91,404.50 = 29,743 : x
  2. Step 2: Convert to fraction form
    60,931.32/91,404.50 = 29,743/x
  3. Step 3: Cross multiply
    60,931.32x = 91,404.50 × 29,743
  4. Step 4: Simplify right side
    60,931.32x = 2,718,644,043.50
  5. Step 5: Solve for x
    x = 2,718,644,043.50/60,931.32
  6. Step 6: Final answer
    x = 44,618.17

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