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Finding the Fourth Proportional to 57,829.60, 86,744.40 and 32,946.40

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Solution

The fourth proportional to 57,829.60, 86,744.40 and 32,946.40 is: 49,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,829.60 : 86,744.40 = 32,946.40 : x
  2. Step 2: Convert to fraction form
    57,829.60/86,744.40 = 32,946.40/x
  3. Step 3: Cross multiply
    57,829.60x = 86,744.40 × 32,946.40
  4. Step 4: Simplify right side
    57,829.60x = 2,857,915,700.16
  5. Step 5: Solve for x
    x = 2,857,915,700.16/57,829.60
  6. Step 6: Final answer
    x = 49,419.60

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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.