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Finding the Fourth Proportional to 89,548.38, 123,572.86 and 49,259.58

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Solution

The fourth proportional to 89,548.38, 123,572.86 and 49,259.58 is: 67,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,548.38 : 123,572.86 = 49,259.58 : x
  2. Step 2: Convert to fraction form
    89,548.38/123,572.86 = 49,259.58/x
  3. Step 3: Cross multiply
    89,548.38x = 123,572.86 × 49,259.58
  4. Step 4: Simplify right side
    89,548.38x = 6,087,147,707.97
  5. Step 5: Solve for x
    x = 6,087,147,707.97/89,548.38
  6. Step 6: Final answer
    x = 67,976.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.