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Finding the Fourth Proportional to 52,024.32, 71,785.44 and 29,664

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Solution

The fourth proportional to 52,024.32, 71,785.44 and 29,664 is: 40,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,024.32 : 71,785.44 = 29,664 : x
  2. Step 2: Convert to fraction form
    52,024.32/71,785.44 = 29,664/x
  3. Step 3: Cross multiply
    52,024.32x = 71,785.44 × 29,664
  4. Step 4: Simplify right side
    52,024.32x = 2,129,443,292.16
  5. Step 5: Solve for x
    x = 2,129,443,292.16/52,024.32
  6. Step 6: Final answer
    x = 40,931.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.