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Finding the Fourth Proportional to 82,874.92, 114,330.96 and 56,007.64

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Solution

The fourth proportional to 82,874.92, 114,330.96 and 56,007.64 is: 77,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,874.92 : 114,330.96 = 56,007.64 : x
  2. Step 2: Convert to fraction form
    82,874.92/114,330.96 = 56,007.64/x
  3. Step 3: Cross multiply
    82,874.92x = 114,330.96 × 56,007.64
  4. Step 4: Simplify right side
    82,874.92x = 6,403,407,248.53
  5. Step 5: Solve for x
    x = 6,403,407,248.53/82,874.92
  6. Step 6: Final answer
    x = 77,265.92

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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.