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Finding the Fourth Proportional to 31,659, 47,504.90 and 16,076.63

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Solution

The fourth proportional to 31,659, 47,504.90 and 16,076.63 is: 24,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,659 : 47,504.90 = 16,076.63 : x
  2. Step 2: Convert to fraction form
    31,659/47,504.90 = 16,076.63/x
  3. Step 3: Cross multiply
    31,659x = 47,504.90 × 16,076.63
  4. Step 4: Simplify right side
    31,659x = 763,718,503.15
  5. Step 5: Solve for x
    x = 763,718,503.15/31,659
  6. Step 6: Final answer
    x = 24,123.27

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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.