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Finding the Fourth Proportional to 84,502.92, 116,508.12 and 54,234.84

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Solution

The fourth proportional to 84,502.92, 116,508.12 and 54,234.84 is: 74,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,502.92 : 116,508.12 = 54,234.84 : x
  2. Step 2: Convert to fraction form
    84,502.92/116,508.12 = 54,234.84/x
  3. Step 3: Cross multiply
    84,502.92x = 116,508.12 × 54,234.84
  4. Step 4: Simplify right side
    84,502.92x = 6,318,799,246.90
  5. Step 5: Solve for x
    x = 6,318,799,246.90/84,502.92
  6. Step 6: Final answer
    x = 74,776.11

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1.5x scale

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.