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Finding the Fourth Proportional to 123,641.92, 185,475.08 and 34,896.19

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Solution

The fourth proportional to 123,641.92, 185,475.08 and 34,896.19 is: 52,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,641.92 : 185,475.08 = 34,896.19 : x
  2. Step 2: Convert to fraction form
    123,641.92/185,475.08 = 34,896.19/x
  3. Step 3: Cross multiply
    123,641.92x = 185,475.08 × 34,896.19
  4. Step 4: Simplify right side
    123,641.92x = 6,472,373,631.95
  5. Step 5: Solve for x
    x = 6,472,373,631.95/123,641.92
  6. Step 6: Final answer
    x = 52,347.73

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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.