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Finding the Fourth Proportional to 65,204.24, 89,982.20 and 38,347.88

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Solution

The fourth proportional to 65,204.24, 89,982.20 and 38,347.88 is: 52,920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,204.24 : 89,982.20 = 38,347.88 : x
  2. Step 2: Convert to fraction form
    65,204.24/89,982.20 = 38,347.88/x
  3. Step 3: Cross multiply
    65,204.24x = 89,982.20 × 38,347.88
  4. Step 4: Simplify right side
    65,204.24x = 3,450,626,607.74
  5. Step 5: Solve for x
    x = 3,450,626,607.74/65,204.24
  6. Step 6: Final answer
    x = 52,920.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.