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Finding the Fourth Proportional to 65,234.70, 97,853.04 and 18,487.53

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Solution

The fourth proportional to 65,234.70, 97,853.04 and 18,487.53 is: 27,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.70 : 97,853.04 = 18,487.53 : x
  2. Step 2: Convert to fraction form
    65,234.70/97,853.04 = 18,487.53/x
  3. Step 3: Cross multiply
    65,234.70x = 97,853.04 × 18,487.53
  4. Step 4: Simplify right side
    65,234.70x = 1,809,061,012.59
  5. Step 5: Solve for x
    x = 1,809,061,012.59/65,234.70
  6. Step 6: Final answer
    x = 27,731.58

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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.