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Finding the Fourth Proportional to 83,043, 124,565.64 and 27,639

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Solution

The fourth proportional to 83,043, 124,565.64 and 27,639 is: 41,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,043 : 124,565.64 = 27,639 : x
  2. Step 2: Convert to fraction form
    83,043/124,565.64 = 27,639/x
  3. Step 3: Cross multiply
    83,043x = 124,565.64 × 27,639
  4. Step 4: Simplify right side
    83,043x = 3,442,869,723.96
  5. Step 5: Solve for x
    x = 3,442,869,723.96/83,043
  6. Step 6: Final answer
    x = 41,458.88

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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.