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Finding the Fourth Proportional to 56,481.76, 77,921.49 and 32,591.49

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Solution

The fourth proportional to 56,481.76, 77,921.49 and 32,591.49 is: 44,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,481.76 : 77,921.49 = 32,591.49 : x
  2. Step 2: Convert to fraction form
    56,481.76/77,921.49 = 32,591.49/x
  3. Step 3: Cross multiply
    56,481.76x = 77,921.49 × 32,591.49
  4. Step 4: Simplify right side
    56,481.76x = 2,539,577,462.12
  5. Step 5: Solve for x
    x = 2,539,577,462.12/56,481.76
  6. Step 6: Final answer
    x = 44,962.79

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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.