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Finding the Fourth Proportional to 34,122.50, 51,176.70 and 9,156.62

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Solution

The fourth proportional to 34,122.50, 51,176.70 and 9,156.62 is: 13,733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,122.50 : 51,176.70 = 9,156.62 : x
  2. Step 2: Convert to fraction form
    34,122.50/51,176.70 = 9,156.62/x
  3. Step 3: Cross multiply
    34,122.50x = 51,176.70 × 9,156.62
  4. Step 4: Simplify right side
    34,122.50x = 468,605,594.75
  5. Step 5: Solve for x
    x = 468,605,594.75/34,122.50
  6. Step 6: Final answer
    x = 13,733.04

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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.