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Finding the Fourth Proportional to 75,758.40, 113,540.40 and 36,230.40

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Solution

The fourth proportional to 75,758.40, 113,540.40 and 36,230.40 is: 54,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,758.40 : 113,540.40 = 36,230.40 : x
  2. Step 2: Convert to fraction form
    75,758.40/113,540.40 = 36,230.40/x
  3. Step 3: Cross multiply
    75,758.40x = 113,540.40 × 36,230.40
  4. Step 4: Simplify right side
    75,758.40x = 4,113,614,108.16
  5. Step 5: Solve for x
    x = 4,113,614,108.16/75,758.40
  6. Step 6: Final answer
    x = 54,299.12

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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.