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Finding the Fourth Proportional to 65,232.20, 97,848.30 and 60,825.80

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Solution

The fourth proportional to 65,232.20, 97,848.30 and 60,825.80 is: 91,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,232.20 : 97,848.30 = 60,825.80 : x
  2. Step 2: Convert to fraction form
    65,232.20/97,848.30 = 60,825.80/x
  3. Step 3: Cross multiply
    65,232.20x = 97,848.30 × 60,825.80
  4. Step 4: Simplify right side
    65,232.20x = 5,951,701,126.14
  5. Step 5: Solve for x
    x = 5,951,701,126.14/65,232.20
  6. Step 6: Final answer
    x = 91,238.70

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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.