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Finding the Fourth Proportional to 34,212.70, 51,209.70 and 24,371.20

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Solution

The fourth proportional to 34,212.70, 51,209.70 and 24,371.20 is: 36,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,212.70 : 51,209.70 = 24,371.20 : x
  2. Step 2: Convert to fraction form
    34,212.70/51,209.70 = 24,371.20/x
  3. Step 3: Cross multiply
    34,212.70x = 51,209.70 × 24,371.20
  4. Step 4: Simplify right side
    34,212.70x = 1,248,041,840.64
  5. Step 5: Solve for x
    x = 1,248,041,840.64/34,212.70
  6. Step 6: Final answer
    x = 36,478.91

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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.