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Finding the Fourth Proportional to 85,200.88, 127,740.20 and 32,566

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Solution

The fourth proportional to 85,200.88, 127,740.20 and 32,566 is: 48,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,200.88 : 127,740.20 = 32,566 : x
  2. Step 2: Convert to fraction form
    85,200.88/127,740.20 = 32,566/x
  3. Step 3: Cross multiply
    85,200.88x = 127,740.20 × 32,566
  4. Step 4: Simplify right side
    85,200.88x = 4,159,987,353.20
  5. Step 5: Solve for x
    x = 4,159,987,353.20/85,200.88
  6. Step 6: Final answer
    x = 48,825.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.