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Finding the Fourth Proportional to 47,545.38, 65,614.86 and 26,325

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Solution

The fourth proportional to 47,545.38, 65,614.86 and 26,325 is: 36,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,545.38 : 65,614.86 = 26,325 : x
  2. Step 2: Convert to fraction form
    47,545.38/65,614.86 = 26,325/x
  3. Step 3: Cross multiply
    47,545.38x = 65,614.86 × 26,325
  4. Step 4: Simplify right side
    47,545.38x = 1,727,311,189.50
  5. Step 5: Solve for x
    x = 1,727,311,189.50/47,545.38
  6. Step 6: Final answer
    x = 36,329.74

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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.