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Finding the Fourth Proportional to 75,880.10, 113,820.15 and 36,514.10

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Solution

The fourth proportional to 75,880.10, 113,820.15 and 36,514.10 is: 54,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,880.10 : 113,820.15 = 36,514.10 : x
  2. Step 2: Convert to fraction form
    75,880.10/113,820.15 = 36,514.10/x
  3. Step 3: Cross multiply
    75,880.10x = 113,820.15 × 36,514.10
  4. Step 4: Simplify right side
    75,880.10x = 4,156,040,339.12
  5. Step 5: Solve for x
    x = 4,156,040,339.12/75,880.10
  6. Step 6: Final answer
    x = 54,771.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.