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Finding the Fourth Proportional to 52,003.59, 71,763.78 and 29,342

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Solution

The fourth proportional to 52,003.59, 71,763.78 and 29,342 is: 40,491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,003.59 : 71,763.78 = 29,342 : x
  2. Step 2: Convert to fraction form
    52,003.59/71,763.78 = 29,342/x
  3. Step 3: Cross multiply
    52,003.59x = 71,763.78 × 29,342
  4. Step 4: Simplify right side
    52,003.59x = 2,105,692,832.76
  5. Step 5: Solve for x
    x = 2,105,692,832.76/52,003.59
  6. Step 6: Final answer
    x = 40,491.30

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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.