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Finding the Fourth Proportional to 30,913.38, 42,660.48 and 16,766.28

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Solution

The fourth proportional to 30,913.38, 42,660.48 and 16,766.28 is: 23,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.38 : 42,660.48 = 16,766.28 : x
  2. Step 2: Convert to fraction form
    30,913.38/42,660.48 = 16,766.28/x
  3. Step 3: Cross multiply
    30,913.38x = 42,660.48 × 16,766.28
  4. Step 4: Simplify right side
    30,913.38x = 715,257,552.61
  5. Step 5: Solve for x
    x = 715,257,552.61/30,913.38
  6. Step 6: Final answer
    x = 23,137.47

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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.