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Finding the Fourth Proportional to 34,229.16, 47,234.76 and 19,121.76

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Solution

The fourth proportional to 34,229.16, 47,234.76 and 19,121.76 is: 26,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,229.16 : 47,234.76 = 19,121.76 : x
  2. Step 2: Convert to fraction form
    34,229.16/47,234.76 = 19,121.76/x
  3. Step 3: Cross multiply
    34,229.16x = 47,234.76 × 19,121.76
  4. Step 4: Simplify right side
    34,229.16x = 903,211,744.38
  5. Step 5: Solve for x
    x = 903,211,744.38/34,229.16
  6. Step 6: Final answer
    x = 26,387.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.