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Finding the Fourth Proportional to 34,051.34, 51,085.17 and 10,677.75

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Solution

The fourth proportional to 34,051.34, 51,085.17 and 10,677.75 is: 16,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,051.34 : 51,085.17 = 10,677.75 : x
  2. Step 2: Convert to fraction form
    34,051.34/51,085.17 = 10,677.75/x
  3. Step 3: Cross multiply
    34,051.34x = 51,085.17 × 10,677.75
  4. Step 4: Simplify right side
    34,051.34x = 545,474,673.97
  5. Step 5: Solve for x
    x = 545,474,673.97/34,051.34
  6. Step 6: Final answer
    x = 16,019.19

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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.