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Finding the Fourth Proportional to 65,253.44, 97,869.84 and 54,230.96

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Solution

The fourth proportional to 65,253.44, 97,869.84 and 54,230.96 is: 81,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,253.44 : 97,869.84 = 54,230.96 : x
  2. Step 2: Convert to fraction form
    65,253.44/97,869.84 = 54,230.96/x
  3. Step 3: Cross multiply
    65,253.44x = 97,869.84 × 54,230.96
  4. Step 4: Simplify right side
    65,253.44x = 5,307,575,378.25
  5. Step 5: Solve for x
    x = 5,307,575,378.25/65,253.44
  6. Step 6: Final answer
    x = 81,337.86

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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.