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Finding the Fourth Proportional to 71,602.40, 107,371.20 and 32,139.20

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Solution

The fourth proportional to 71,602.40, 107,371.20 and 32,139.20 is: 48,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,602.40 : 107,371.20 = 32,139.20 : x
  2. Step 2: Convert to fraction form
    71,602.40/107,371.20 = 32,139.20/x
  3. Step 3: Cross multiply
    71,602.40x = 107,371.20 × 32,139.20
  4. Step 4: Simplify right side
    71,602.40x = 3,450,824,471.04
  5. Step 5: Solve for x
    x = 3,450,824,471.04/71,602.40
  6. Step 6: Final answer
    x = 48,194.26

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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.