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Finding the Fourth Proportional to 55,584, 83,350.80 and 23,979.15

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Solution

The fourth proportional to 55,584, 83,350.80 and 23,979.15 is: 35,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,584 : 83,350.80 = 23,979.15 : x
  2. Step 2: Convert to fraction form
    55,584/83,350.80 = 23,979.15/x
  3. Step 3: Cross multiply
    55,584x = 83,350.80 × 23,979.15
  4. Step 4: Simplify right side
    55,584x = 1,998,681,335.82
  5. Step 5: Solve for x
    x = 1,998,681,335.82/55,584
  6. Step 6: Final answer
    x = 35,957.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.