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Finding the Fourth Proportional to 54,125.65, 81,133.80 and 24,564.70

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Solution

The fourth proportional to 54,125.65, 81,133.80 and 24,564.70 is: 36,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,125.65 : 81,133.80 = 24,564.70 : x
  2. Step 2: Convert to fraction form
    54,125.65/81,133.80 = 24,564.70/x
  3. Step 3: Cross multiply
    54,125.65x = 81,133.80 × 24,564.70
  4. Step 4: Simplify right side
    54,125.65x = 1,993,027,456.86
  5. Step 5: Solve for x
    x = 1,993,027,456.86/54,125.65
  6. Step 6: Final answer
    x = 36,822.24

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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.