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Finding the Fourth Proportional to 123,854.65, 185,745.51 and 35,115.91

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Solution

The fourth proportional to 123,854.65, 185,745.51 and 35,115.91 is: 52,663.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,854.65 : 185,745.51 = 35,115.91 : x
  2. Step 2: Convert to fraction form
    123,854.65/185,745.51 = 35,115.91/x
  3. Step 3: Cross multiply
    123,854.65x = 185,745.51 × 35,115.91
  4. Step 4: Simplify right side
    123,854.65x = 6,522,622,612.06
  5. Step 5: Solve for x
    x = 6,522,622,612.06/123,854.65
  6. Step 6: Final answer
    x = 52,663.53

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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.