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Finding the Fourth Proportional to 34,085.62, 51,151.78 and 11,899

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Solution

The fourth proportional to 34,085.62, 51,151.78 and 11,899 is: 17,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,085.62 : 51,151.78 = 11,899 : x
  2. Step 2: Convert to fraction form
    34,085.62/51,151.78 = 11,899/x
  3. Step 3: Cross multiply
    34,085.62x = 51,151.78 × 11,899
  4. Step 4: Simplify right side
    34,085.62x = 608,655,030.22
  5. Step 5: Solve for x
    x = 608,655,030.22/34,085.62
  6. Step 6: Final answer
    x = 17,856.65

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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.