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Finding the Fourth Proportional to 57,686.50, 86,538.90 and 24,406.82

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Solution

The fourth proportional to 57,686.50, 86,538.90 and 24,406.82 is: 36,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,686.50 : 86,538.90 = 24,406.82 : x
  2. Step 2: Convert to fraction form
    57,686.50/86,538.90 = 24,406.82/x
  3. Step 3: Cross multiply
    57,686.50x = 86,538.90 × 24,406.82
  4. Step 4: Simplify right side
    57,686.50x = 2,112,138,800.57
  5. Step 5: Solve for x
    x = 2,112,138,800.57/57,686.50
  6. Step 6: Final answer
    x = 36,614.09

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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.