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Finding the Fourth Proportional to 41,978.70, 62,968.05 and 24,239.70

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Solution

The fourth proportional to 41,978.70, 62,968.05 and 24,239.70 is: 36,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978.70 : 62,968.05 = 24,239.70 : x
  2. Step 2: Convert to fraction form
    41,978.70/62,968.05 = 24,239.70/x
  3. Step 3: Cross multiply
    41,978.70x = 62,968.05 × 24,239.70
  4. Step 4: Simplify right side
    41,978.70x = 1,526,326,641.59
  5. Step 5: Solve for x
    x = 1,526,326,641.59/41,978.70
  6. Step 6: Final answer
    x = 36,359.55

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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.