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Finding the Fourth Proportional to 82,142.64, 113,355.24 and 46,332

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Solution

The fourth proportional to 82,142.64, 113,355.24 and 46,332 is: 63,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.64 : 113,355.24 = 46,332 : x
  2. Step 2: Convert to fraction form
    82,142.64/113,355.24 = 46,332/x
  3. Step 3: Cross multiply
    82,142.64x = 113,355.24 × 46,332
  4. Step 4: Simplify right side
    82,142.64x = 5,251,974,979.68
  5. Step 5: Solve for x
    x = 5,251,974,979.68/82,142.64
  6. Step 6: Final answer
    x = 63,937.26

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Why These Related Problems?

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