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Finding the Fourth Proportional to 72,189.90, 108,257.88 and 24,791.52

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Solution

The fourth proportional to 72,189.90, 108,257.88 and 24,791.52 is: 37,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,189.90 : 108,257.88 = 24,791.52 : x
  2. Step 2: Convert to fraction form
    72,189.90/108,257.88 = 24,791.52/x
  3. Step 3: Cross multiply
    72,189.90x = 108,257.88 × 24,791.52
  4. Step 4: Simplify right side
    72,189.90x = 2,683,877,397.18
  5. Step 5: Solve for x
    x = 2,683,877,397.18/72,189.90
  6. Step 6: Final answer
    x = 37,178.02

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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.