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Finding the Fourth Proportional to 29,476.20, 40,675.86 and 16,047.54

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Solution

The fourth proportional to 29,476.20, 40,675.86 and 16,047.54 is: 22,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,476.20 : 40,675.86 = 16,047.54 : x
  2. Step 2: Convert to fraction form
    29,476.20/40,675.86 = 16,047.54/x
  3. Step 3: Cross multiply
    29,476.20x = 40,675.86 × 16,047.54
  4. Step 4: Simplify right side
    29,476.20x = 652,747,490.38
  5. Step 5: Solve for x
    x = 652,747,490.38/29,476.20
  6. Step 6: Final answer
    x = 22,144.90

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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.