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Finding the Fourth Proportional to 89,386.83, 123,354.62 and 49,101.41

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Solution

The fourth proportional to 89,386.83, 123,354.62 and 49,101.41 is: 67,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,386.83 : 123,354.62 = 49,101.41 : x
  2. Step 2: Convert to fraction form
    89,386.83/123,354.62 = 49,101.41/x
  3. Step 3: Cross multiply
    89,386.83x = 123,354.62 × 49,101.41
  4. Step 4: Simplify right side
    89,386.83x = 6,056,885,772.01
  5. Step 5: Solve for x
    x = 6,056,885,772.01/89,386.83
  6. Step 6: Final answer
    x = 67,760.38

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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.