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Finding the Fourth Proportional to 34,491.06, 51,737.56 and 9,531.11

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Solution

The fourth proportional to 34,491.06, 51,737.56 and 9,531.11 is: 14,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491.06 : 51,737.56 = 9,531.11 : x
  2. Step 2: Convert to fraction form
    34,491.06/51,737.56 = 9,531.11/x
  3. Step 3: Cross multiply
    34,491.06x = 51,737.56 × 9,531.11
  4. Step 4: Simplify right side
    34,491.06x = 493,116,375.49
  5. Step 5: Solve for x
    x = 493,116,375.49/34,491.06
  6. Step 6: Final answer
    x = 14,296.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.