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Finding the Fourth Proportional to 34,311.71, 51,459.82 and 17,427.62

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Solution

The fourth proportional to 34,311.71, 51,459.82 and 17,427.62 is: 26,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,311.71 : 51,459.82 = 17,427.62 : x
  2. Step 2: Convert to fraction form
    34,311.71/51,459.82 = 17,427.62/x
  3. Step 3: Cross multiply
    34,311.71x = 51,459.82 × 17,427.62
  4. Step 4: Simplify right side
    34,311.71x = 896,822,188.23
  5. Step 5: Solve for x
    x = 896,822,188.23/34,311.71
  6. Step 6: Final answer
    x = 26,137.50

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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.