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Finding the Fourth Proportional to 83,142.34, 114,732.12 and 47,332.24

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Solution

The fourth proportional to 83,142.34, 114,732.12 and 47,332.24 is: 65,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,142.34 : 114,732.12 = 47,332.24 : x
  2. Step 2: Convert to fraction form
    83,142.34/114,732.12 = 47,332.24/x
  3. Step 3: Cross multiply
    83,142.34x = 114,732.12 × 47,332.24
  4. Step 4: Simplify right side
    83,142.34x = 5,430,528,239.55
  5. Step 5: Solve for x
    x = 5,430,528,239.55/83,142.34
  6. Step 6: Final answer
    x = 65,316.04

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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.