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Finding the Fourth Proportional to 65,178.38, 97,679.14 and 27,691.45

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Solution

The fourth proportional to 65,178.38, 97,679.14 and 27,691.45 is: 41,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,178.38 : 97,679.14 = 27,691.45 : x
  2. Step 2: Convert to fraction form
    65,178.38/97,679.14 = 27,691.45/x
  3. Step 3: Cross multiply
    65,178.38x = 97,679.14 × 27,691.45
  4. Step 4: Simplify right side
    65,178.38x = 2,704,877,021.35
  5. Step 5: Solve for x
    x = 2,704,877,021.35/65,178.38
  6. Step 6: Final answer
    x = 41,499.60

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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.