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Finding the Fourth Proportional to 123,578.92, 185,378.10 and 48,693.88

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Solution

The fourth proportional to 123,578.92, 185,378.10 and 48,693.88 is: 73,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,578.92 : 185,378.10 = 48,693.88 : x
  2. Step 2: Convert to fraction form
    123,578.92/185,378.10 = 48,693.88/x
  3. Step 3: Cross multiply
    123,578.92x = 185,378.10 × 48,693.88
  4. Step 4: Simplify right side
    123,578.92x = 9,026,778,956.03
  5. Step 5: Solve for x
    x = 9,026,778,956.03/123,578.92
  6. Step 6: Final answer
    x = 73,044.65

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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.