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Finding the Fourth Proportional to 89,412.71, 123,338.22 and 55,820.39

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Solution

The fourth proportional to 89,412.71, 123,338.22 and 55,820.39 is: 77,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,412.71 : 123,338.22 = 55,820.39 : x
  2. Step 2: Convert to fraction form
    89,412.71/123,338.22 = 55,820.39/x
  3. Step 3: Cross multiply
    89,412.71x = 123,338.22 × 55,820.39
  4. Step 4: Simplify right side
    89,412.71x = 6,884,787,542.31
  5. Step 5: Solve for x
    x = 6,884,787,542.31/89,412.71
  6. Step 6: Final answer
    x = 77,000.10

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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.