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Finding the Fourth Proportional to 65,114.52, 89,825.56 and 43,856.88

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Solution

The fourth proportional to 65,114.52, 89,825.56 and 43,856.88 is: 60,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.52 : 89,825.56 = 43,856.88 : x
  2. Step 2: Convert to fraction form
    65,114.52/89,825.56 = 43,856.88/x
  3. Step 3: Cross multiply
    65,114.52x = 89,825.56 × 43,856.88
  4. Step 4: Simplify right side
    65,114.52x = 3,939,468,805.85
  5. Step 5: Solve for x
    x = 3,939,468,805.85/65,114.52
  6. Step 6: Final answer
    x = 60,500.62

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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.