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Finding the Fourth Proportional to 34,121.70, 51,192.54 and 10,106.64

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Solution

The fourth proportional to 34,121.70, 51,192.54 and 10,106.64 is: 15,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,121.70 : 51,192.54 = 10,106.64 : x
  2. Step 2: Convert to fraction form
    34,121.70/51,192.54 = 10,106.64/x
  3. Step 3: Cross multiply
    34,121.70x = 51,192.54 × 10,106.64
  4. Step 4: Simplify right side
    34,121.70x = 517,384,572.47
  5. Step 5: Solve for x
    x = 517,384,572.47/34,121.70
  6. Step 6: Final answer
    x = 15,162.92

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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.