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Finding the Fourth Proportional to 44,542.20, 61,473.42 and 25,680

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Solution

The fourth proportional to 44,542.20, 61,473.42 and 25,680 is: 35,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,542.20 : 61,473.42 = 25,680 : x
  2. Step 2: Convert to fraction form
    44,542.20/61,473.42 = 25,680/x
  3. Step 3: Cross multiply
    44,542.20x = 61,473.42 × 25,680
  4. Step 4: Simplify right side
    44,542.20x = 1,578,637,425.60
  5. Step 5: Solve for x
    x = 1,578,637,425.60/44,542.20
  6. Step 6: Final answer
    x = 35,441.39

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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.