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Finding the Fourth Proportional to 57,712.40, 86,568.60 and 32,829.20

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Solution

The fourth proportional to 57,712.40, 86,568.60 and 32,829.20 is: 49,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,712.40 : 86,568.60 = 32,829.20 : x
  2. Step 2: Convert to fraction form
    57,712.40/86,568.60 = 32,829.20/x
  3. Step 3: Cross multiply
    57,712.40x = 86,568.60 × 32,829.20
  4. Step 4: Simplify right side
    57,712.40x = 2,841,977,883.12
  5. Step 5: Solve for x
    x = 2,841,977,883.12/57,712.40
  6. Step 6: Final answer
    x = 49,243.80

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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.