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Finding the Fourth Proportional to 34,922.68, 52,384.02 and 8,627.92

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Solution

The fourth proportional to 34,922.68, 52,384.02 and 8,627.92 is: 12,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,922.68 : 52,384.02 = 8,627.92 : x
  2. Step 2: Convert to fraction form
    34,922.68/52,384.02 = 8,627.92/x
  3. Step 3: Cross multiply
    34,922.68x = 52,384.02 × 8,627.92
  4. Step 4: Simplify right side
    34,922.68x = 451,964,970.52
  5. Step 5: Solve for x
    x = 451,964,970.52/34,922.68
  6. Step 6: Final answer
    x = 12,941.88

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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.