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Finding the Fourth Proportional to 123,829.60, 185,744.40 and 44,946.40

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Solution

The fourth proportional to 123,829.60, 185,744.40 and 44,946.40 is: 67,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,829.60 : 185,744.40 = 44,946.40 : x
  2. Step 2: Convert to fraction form
    123,829.60/185,744.40 = 44,946.40/x
  3. Step 3: Cross multiply
    123,829.60x = 185,744.40 × 44,946.40
  4. Step 4: Simplify right side
    123,829.60x = 8,348,542,100.16
  5. Step 5: Solve for x
    x = 8,348,542,100.16/123,829.60
  6. Step 6: Final answer
    x = 67,419.60

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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.