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Finding the Fourth Proportional to 82,403.76, 123,532.32 and 29,801.54

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Solution

The fourth proportional to 82,403.76, 123,532.32 and 29,801.54 is: 44,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,403.76 : 123,532.32 = 29,801.54 : x
  2. Step 2: Convert to fraction form
    82,403.76/123,532.32 = 29,801.54/x
  3. Step 3: Cross multiply
    82,403.76x = 123,532.32 × 29,801.54
  4. Step 4: Simplify right side
    82,403.76x = 3,681,453,375.77
  5. Step 5: Solve for x
    x = 3,681,453,375.77/82,403.76
  6. Step 6: Final answer
    x = 44,675.79

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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.