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Finding the Fourth Proportional to 89,761.40, 123,871.60 and 49,476.74

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Solution

The fourth proportional to 89,761.40, 123,871.60 and 49,476.74 is: 68,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,761.40 : 123,871.60 = 49,476.74 : x
  2. Step 2: Convert to fraction form
    89,761.40/123,871.60 = 49,476.74/x
  3. Step 3: Cross multiply
    89,761.40x = 123,871.60 × 49,476.74
  4. Step 4: Simplify right side
    89,761.40x = 6,128,762,946.58
  5. Step 5: Solve for x
    x = 6,128,762,946.58/89,761.40
  6. Step 6: Final answer
    x = 68,278.38

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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.