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Finding the Fourth Proportional to 29,139.80, 43,742.10 and 16,017.80

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Solution

The fourth proportional to 29,139.80, 43,742.10 and 16,017.80 is: 24,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,139.80 : 43,742.10 = 16,017.80 : x
  2. Step 2: Convert to fraction form
    29,139.80/43,742.10 = 16,017.80/x
  3. Step 3: Cross multiply
    29,139.80x = 43,742.10 × 16,017.80
  4. Step 4: Simplify right side
    29,139.80x = 700,652,209.38
  5. Step 5: Solve for x
    x = 700,652,209.38/29,139.80
  6. Step 6: Final answer
    x = 24,044.51

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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.