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Finding the Fourth Proportional to 123,747.60, 185,689.44 and 53,627.52

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Solution

The fourth proportional to 123,747.60, 185,689.44 and 53,627.52 is: 80,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,747.60 : 185,689.44 = 53,627.52 : x
  2. Step 2: Convert to fraction form
    123,747.60/185,689.44 = 53,627.52/x
  3. Step 3: Cross multiply
    123,747.60x = 185,689.44 × 53,627.52
  4. Step 4: Simplify right side
    123,747.60x = 9,958,064,157.39
  5. Step 5: Solve for x
    x = 9,958,064,157.39/123,747.60
  6. Step 6: Final answer
    x = 80,470.77

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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.