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Finding the Fourth Proportional to 77,419.80, 116,132.13 and 27,499.10

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Solution

The fourth proportional to 77,419.80, 116,132.13 and 27,499.10 is: 41,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,419.80 : 116,132.13 = 27,499.10 : x
  2. Step 2: Convert to fraction form
    77,419.80/116,132.13 = 27,499.10/x
  3. Step 3: Cross multiply
    77,419.80x = 116,132.13 × 27,499.10
  4. Step 4: Simplify right side
    77,419.80x = 3,193,528,475.42
  5. Step 5: Solve for x
    x = 3,193,528,475.42/77,419.80
  6. Step 6: Final answer
    x = 41,249.51

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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.