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Finding the Fourth Proportional to 34,085.34, 51,119.64 and 10,711.71

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Solution

The fourth proportional to 34,085.34, 51,119.64 and 10,711.71 is: 16,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,085.34 : 51,119.64 = 10,711.71 : x
  2. Step 2: Convert to fraction form
    34,085.34/51,119.64 = 10,711.71/x
  3. Step 3: Cross multiply
    34,085.34x = 51,119.64 × 10,711.71
  4. Step 4: Simplify right side
    34,085.34x = 547,578,758.98
  5. Step 5: Solve for x
    x = 547,578,758.98/34,085.34
  6. Step 6: Final answer
    x = 16,064.93

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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.