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Finding the Fourth Proportional to 75,331.48, 103,957.14 and 41,797.48

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Solution

The fourth proportional to 75,331.48, 103,957.14 and 41,797.48 is: 57,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,331.48 : 103,957.14 = 41,797.48 : x
  2. Step 2: Convert to fraction form
    75,331.48/103,957.14 = 41,797.48/x
  3. Step 3: Cross multiply
    75,331.48x = 103,957.14 × 41,797.48
  4. Step 4: Simplify right side
    75,331.48x = 4,345,146,480.01
  5. Step 5: Solve for x
    x = 4,345,146,480.01/75,331.48
  6. Step 6: Final answer
    x = 57,680.35

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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.