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Finding the Fourth Proportional to 36,545.52, 50,432.88 and 19,778.52

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Solution

The fourth proportional to 36,545.52, 50,432.88 and 19,778.52 is: 27,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,545.52 : 50,432.88 = 19,778.52 : x
  2. Step 2: Convert to fraction form
    36,545.52/50,432.88 = 19,778.52/x
  3. Step 3: Cross multiply
    36,545.52x = 50,432.88 × 19,778.52
  4. Step 4: Simplify right side
    36,545.52x = 997,487,725.74
  5. Step 5: Solve for x
    x = 997,487,725.74/36,545.52
  6. Step 6: Final answer
    x = 27,294.39

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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.