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Finding the Fourth Proportional to 84,507.92, 116,569.80 and 54,282.96

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Solution

The fourth proportional to 84,507.92, 116,569.80 and 54,282.96 is: 74,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,507.92 : 116,569.80 = 54,282.96 : x
  2. Step 2: Convert to fraction form
    84,507.92/116,569.80 = 54,282.96/x
  3. Step 3: Cross multiply
    84,507.92x = 116,569.80 × 54,282.96
  4. Step 4: Simplify right side
    84,507.92x = 6,327,753,790.61
  5. Step 5: Solve for x
    x = 6,327,753,790.61/84,507.92
  6. Step 6: Final answer
    x = 74,877.64

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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.