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Finding the Fourth Proportional to 78,553.52, 117,803.85 and 25,232.42

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Solution

The fourth proportional to 78,553.52, 117,803.85 and 25,232.42 is: 37,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,553.52 : 117,803.85 = 25,232.42 : x
  2. Step 2: Convert to fraction form
    78,553.52/117,803.85 = 25,232.42/x
  3. Step 3: Cross multiply
    78,553.52x = 117,803.85 × 25,232.42
  4. Step 4: Simplify right side
    78,553.52x = 2,972,475,631.80
  5. Step 5: Solve for x
    x = 2,972,475,631.80/78,553.52
  6. Step 6: Final answer
    x = 37,840.14

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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.