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Finding the Fourth Proportional to 83,132.40, 124,698.60 and 41,564.40

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Solution

The fourth proportional to 83,132.40, 124,698.60 and 41,564.40 is: 62,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,132.40 : 124,698.60 = 41,564.40 : x
  2. Step 2: Convert to fraction form
    83,132.40/124,698.60 = 41,564.40/x
  3. Step 3: Cross multiply
    83,132.40x = 124,698.60 × 41,564.40
  4. Step 4: Simplify right side
    83,132.40x = 5,183,022,489.84
  5. Step 5: Solve for x
    x = 5,183,022,489.84/83,132.40
  6. Step 6: Final answer
    x = 62,346.60

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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.