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Finding the Fourth Proportional to 84,001.92, 125,964.96 and 24,816.96

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Solution

The fourth proportional to 84,001.92, 125,964.96 and 24,816.96 is: 37,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,001.92 : 125,964.96 = 24,816.96 : x
  2. Step 2: Convert to fraction form
    84,001.92/125,964.96 = 24,816.96/x
  3. Step 3: Cross multiply
    84,001.92x = 125,964.96 × 24,816.96
  4. Step 4: Simplify right side
    84,001.92x = 3,126,067,373.72
  5. Step 5: Solve for x
    x = 3,126,067,373.72/84,001.92
  6. Step 6: Final answer
    x = 37,214.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.