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Finding the Fourth Proportional to 34,615.50, 47,758.76 and 21,172.74

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Solution

The fourth proportional to 34,615.50, 47,758.76 and 21,172.74 is: 29,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,615.50 : 47,758.76 = 21,172.74 : x
  2. Step 2: Convert to fraction form
    34,615.50/47,758.76 = 21,172.74/x
  3. Step 3: Cross multiply
    34,615.50x = 47,758.76 × 21,172.74
  4. Step 4: Simplify right side
    34,615.50x = 1,011,183,990.38
  5. Step 5: Solve for x
    x = 1,011,183,990.38/34,615.50
  6. Step 6: Final answer
    x = 29,211.88

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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.