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Finding the Fourth Proportional to 34,138.50, 51,207.78 and 9,514.50

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Solution

The fourth proportional to 34,138.50, 51,207.78 and 9,514.50 is: 14,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.50 : 51,207.78 = 9,514.50 : x
  2. Step 2: Convert to fraction form
    34,138.50/51,207.78 = 9,514.50/x
  3. Step 3: Cross multiply
    34,138.50x = 51,207.78 × 9,514.50
  4. Step 4: Simplify right side
    34,138.50x = 487,216,422.81
  5. Step 5: Solve for x
    x = 487,216,422.81/34,138.50
  6. Step 6: Final answer
    x = 14,271.76

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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.