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Finding the Fourth Proportional to 34,138.95, 51,217.05 and 9,514.95

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Solution

The fourth proportional to 34,138.95, 51,217.05 and 9,514.95 is: 14,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.95 : 51,217.05 = 9,514.95 : x
  2. Step 2: Convert to fraction form
    34,138.95/51,217.05 = 9,514.95/x
  3. Step 3: Cross multiply
    34,138.95x = 51,217.05 × 9,514.95
  4. Step 4: Simplify right side
    34,138.95x = 487,327,669.90
  5. Step 5: Solve for x
    x = 487,327,669.90/34,138.95
  6. Step 6: Final answer
    x = 14,274.83

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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.