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Finding the Fourth Proportional to 31,806.80, 47,645.40 and 16,233.20

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Solution

The fourth proportional to 31,806.80, 47,645.40 and 16,233.20 is: 24,316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.80 : 47,645.40 = 16,233.20 : x
  2. Step 2: Convert to fraction form
    31,806.80/47,645.40 = 16,233.20/x
  3. Step 3: Cross multiply
    31,806.80x = 47,645.40 × 16,233.20
  4. Step 4: Simplify right side
    31,806.80x = 773,437,307.28
  5. Step 5: Solve for x
    x = 773,437,307.28/31,806.80
  6. Step 6: Final answer
    x = 24,316.73

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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.