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Finding the Fourth Proportional to 65,017.70, 97,604.33 and 38,734.82

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Solution

The fourth proportional to 65,017.70, 97,604.33 and 38,734.82 is: 58,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,017.70 : 97,604.33 = 38,734.82 : x
  2. Step 2: Convert to fraction form
    65,017.70/97,604.33 = 38,734.82/x
  3. Step 3: Cross multiply
    65,017.70x = 97,604.33 × 38,734.82
  4. Step 4: Simplify right side
    65,017.70x = 3,780,685,472.07
  5. Step 5: Solve for x
    x = 3,780,685,472.07/65,017.70
  6. Step 6: Final answer
    x = 58,148.56

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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.