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Finding the Fourth Proportional to 34,162.64, 51,240.10 and 9,204.52

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Solution

The fourth proportional to 34,162.64, 51,240.10 and 9,204.52 is: 13,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,162.64 : 51,240.10 = 9,204.52 : x
  2. Step 2: Convert to fraction form
    34,162.64/51,240.10 = 9,204.52/x
  3. Step 3: Cross multiply
    34,162.64x = 51,240.10 × 9,204.52
  4. Step 4: Simplify right side
    34,162.64x = 471,640,525.25
  5. Step 5: Solve for x
    x = 471,640,525.25/34,162.64
  6. Step 6: Final answer
    x = 13,805.74

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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.