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Finding the Fourth Proportional to 56,253.90, 77,630.46 and 30,760.38

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Solution

The fourth proportional to 56,253.90, 77,630.46 and 30,760.38 is: 42,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,253.90 : 77,630.46 = 30,760.38 : x
  2. Step 2: Convert to fraction form
    56,253.90/77,630.46 = 30,760.38/x
  3. Step 3: Cross multiply
    56,253.90x = 77,630.46 × 30,760.38
  4. Step 4: Simplify right side
    56,253.90x = 2,387,942,449.17
  5. Step 5: Solve for x
    x = 2,387,942,449.17/56,253.90
  6. Step 6: Final answer
    x = 42,449.37

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Why These Related Problems?

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