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Finding the Fourth Proportional to 56,442.52, 77,882.34 and 31,292.20

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Solution

The fourth proportional to 56,442.52, 77,882.34 and 31,292.20 is: 43,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442.52 : 77,882.34 = 31,292.20 : x
  2. Step 2: Convert to fraction form
    56,442.52/77,882.34 = 31,292.20/x
  3. Step 3: Cross multiply
    56,442.52x = 77,882.34 × 31,292.20
  4. Step 4: Simplify right side
    56,442.52x = 2,437,109,759.75
  5. Step 5: Solve for x
    x = 2,437,109,759.75/56,442.52
  6. Step 6: Final answer
    x = 43,178.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.