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Finding the Fourth Proportional to 89,543.57, 123,574.28 and 49,256.60

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Solution

The fourth proportional to 89,543.57, 123,574.28 and 49,256.60 is: 67,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,543.57 : 123,574.28 = 49,256.60 : x
  2. Step 2: Convert to fraction form
    89,543.57/123,574.28 = 49,256.60/x
  3. Step 3: Cross multiply
    89,543.57x = 123,574.28 × 49,256.60
  4. Step 4: Simplify right side
    89,543.57x = 6,086,848,016.09
  5. Step 5: Solve for x
    x = 6,086,848,016.09/89,543.57
  6. Step 6: Final answer
    x = 67,976.39

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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.