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Finding the Fourth Proportional to 57,713.60, 86,582.10 and 32,765.60

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Solution

The fourth proportional to 57,713.60, 86,582.10 and 32,765.60 is: 49,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,713.60 : 86,582.10 = 32,765.60 : x
  2. Step 2: Convert to fraction form
    57,713.60/86,582.10 = 32,765.60/x
  3. Step 3: Cross multiply
    57,713.60x = 86,582.10 × 32,765.60
  4. Step 4: Simplify right side
    57,713.60x = 2,836,914,455.76
  5. Step 5: Solve for x
    x = 2,836,914,455.76/57,713.60
  6. Step 6: Final answer
    x = 49,155.04

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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.