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Finding the Fourth Proportional to 78,542.70, 117,808.65 and 25,233.90

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Solution

The fourth proportional to 78,542.70, 117,808.65 and 25,233.90 is: 37,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,542.70 : 117,808.65 = 25,233.90 : x
  2. Step 2: Convert to fraction form
    78,542.70/117,808.65 = 25,233.90/x
  3. Step 3: Cross multiply
    78,542.70x = 117,808.65 × 25,233.90
  4. Step 4: Simplify right side
    78,542.70x = 2,972,771,693.24
  5. Step 5: Solve for x
    x = 2,972,771,693.24/78,542.70
  6. Step 6: Final answer
    x = 37,849.12

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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.