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Finding the Fourth Proportional to 90,377, 135,565.50 and 24,713

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Solution

The fourth proportional to 90,377, 135,565.50 and 24,713 is: 37,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,377 : 135,565.50 = 24,713 : x
  2. Step 2: Convert to fraction form
    90,377/135,565.50 = 24,713/x
  3. Step 3: Cross multiply
    90,377x = 135,565.50 × 24,713
  4. Step 4: Simplify right side
    90,377x = 3,350,230,201.50
  5. Step 5: Solve for x
    x = 3,350,230,201.50/90,377
  6. Step 6: Final answer
    x = 37,069.50

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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.