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Finding the Fourth Proportional to 71,908.40, 107,632.20 and 38,546.48

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Solution

The fourth proportional to 71,908.40, 107,632.20 and 38,546.48 is: 57,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,908.40 : 107,632.20 = 38,546.48 : x
  2. Step 2: Convert to fraction form
    71,908.40/107,632.20 = 38,546.48/x
  3. Step 3: Cross multiply
    71,908.40x = 107,632.20 × 38,546.48
  4. Step 4: Simplify right side
    71,908.40x = 4,148,842,444.66
  5. Step 5: Solve for x
    x = 4,148,842,444.66/71,908.40
  6. Step 6: Final answer
    x = 57,696.21

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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.