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Finding the Fourth Proportional to 34,440.41, 51,653.76 and 9,474

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Solution

The fourth proportional to 34,440.41, 51,653.76 and 9,474 is: 14,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,440.41 : 51,653.76 = 9,474 : x
  2. Step 2: Convert to fraction form
    34,440.41/51,653.76 = 9,474/x
  3. Step 3: Cross multiply
    34,440.41x = 51,653.76 × 9,474
  4. Step 4: Simplify right side
    34,440.41x = 489,367,722.24
  5. Step 5: Solve for x
    x = 489,367,722.24/34,440.41
  6. Step 6: Final answer
    x = 14,209.12

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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.