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Finding the Fourth Proportional to 34,069.38, 51,085.54 and 11,876.80

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Solution

The fourth proportional to 34,069.38, 51,085.54 and 11,876.80 is: 17,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,069.38 : 51,085.54 = 11,876.80 : x
  2. Step 2: Convert to fraction form
    34,069.38/51,085.54 = 11,876.80/x
  3. Step 3: Cross multiply
    34,069.38x = 51,085.54 × 11,876.80
  4. Step 4: Simplify right side
    34,069.38x = 606,732,741.47
  5. Step 5: Solve for x
    x = 606,732,741.47/34,069.38
  6. Step 6: Final answer
    x = 17,808.74

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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.