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Finding the Fourth Proportional to 34,085.76, 51,140.96 and 11,902.42

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Solution

The fourth proportional to 34,085.76, 51,140.96 and 11,902.42 is: 17,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,085.76 : 51,140.96 = 11,902.42 : x
  2. Step 2: Convert to fraction form
    34,085.76/51,140.96 = 11,902.42/x
  3. Step 3: Cross multiply
    34,085.76x = 51,140.96 × 11,902.42
  4. Step 4: Simplify right side
    34,085.76x = 608,701,185.12
  5. Step 5: Solve for x
    x = 608,701,185.12/34,085.76
  6. Step 6: Final answer
    x = 17,857.93

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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.