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Finding the Fourth Proportional to 82,142.16, 113,351.88 and 46,332.24

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Solution

The fourth proportional to 82,142.16, 113,351.88 and 46,332.24 is: 63,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.16 : 113,351.88 = 46,332.24 : x
  2. Step 2: Convert to fraction form
    82,142.16/113,351.88 = 46,332.24/x
  3. Step 3: Cross multiply
    82,142.16x = 113,351.88 × 46,332.24
  4. Step 4: Simplify right side
    82,142.16x = 5,251,846,508.61
  5. Step 5: Solve for x
    x = 5,251,846,508.61/82,142.16
  6. Step 6: Final answer
    x = 63,936.07

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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.