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Finding the Fourth Proportional to 29,471.67, 40,670.79 and 16,042.88

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Solution

The fourth proportional to 29,471.67, 40,670.79 and 16,042.88 is: 22,139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,471.67 : 40,670.79 = 16,042.88 : x
  2. Step 2: Convert to fraction form
    29,471.67/40,670.79 = 16,042.88/x
  3. Step 3: Cross multiply
    29,471.67x = 40,670.79 × 16,042.88
  4. Step 4: Simplify right side
    29,471.67x = 652,476,400.12
  5. Step 5: Solve for x
    x = 652,476,400.12/29,471.67
  6. Step 6: Final answer
    x = 22,139.11

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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.