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Finding the Fourth Proportional to 82,411.40, 113,685.04 and 52,144.69

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Solution

The fourth proportional to 82,411.40, 113,685.04 and 52,144.69 is: 71,932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,411.40 : 113,685.04 = 52,144.69 : x
  2. Step 2: Convert to fraction form
    82,411.40/113,685.04 = 52,144.69/x
  3. Step 3: Cross multiply
    82,411.40x = 113,685.04 × 52,144.69
  4. Step 4: Simplify right side
    82,411.40x = 5,928,070,989.48
  5. Step 5: Solve for x
    x = 5,928,070,989.48/82,411.40
  6. Step 6: Final answer
    x = 71,932.66

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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.