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Finding the Fourth Proportional to 34,472.69, 51,696.26 and 12,280.17

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Solution

The fourth proportional to 34,472.69, 51,696.26 and 12,280.17 is: 18,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,472.69 : 51,696.26 = 12,280.17 : x
  2. Step 2: Convert to fraction form
    34,472.69/51,696.26 = 12,280.17/x
  3. Step 3: Cross multiply
    34,472.69x = 51,696.26 × 12,280.17
  4. Step 4: Simplify right side
    34,472.69x = 634,838,861.16
  5. Step 5: Solve for x
    x = 634,838,861.16/34,472.69
  6. Step 6: Final answer
    x = 18,415.70

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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.