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Finding the Fourth Proportional to 42,876.32, 59,144.78 and 24,969.38

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Solution

The fourth proportional to 42,876.32, 59,144.78 and 24,969.38 is: 34,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,876.32 : 59,144.78 = 24,969.38 : x
  2. Step 2: Convert to fraction form
    42,876.32/59,144.78 = 24,969.38/x
  3. Step 3: Cross multiply
    42,876.32x = 59,144.78 × 24,969.38
  4. Step 4: Simplify right side
    42,876.32x = 1,476,808,253.54
  5. Step 5: Solve for x
    x = 1,476,808,253.54/42,876.32
  6. Step 6: Final answer
    x = 34,443.45

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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.