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Finding the Fourth Proportional to 29,472.98, 40,675.38 and 18,145.40

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Solution

The fourth proportional to 29,472.98, 40,675.38 and 18,145.40 is: 25,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,472.98 : 40,675.38 = 18,145.40 : x
  2. Step 2: Convert to fraction form
    29,472.98/40,675.38 = 18,145.40/x
  3. Step 3: Cross multiply
    29,472.98x = 40,675.38 × 18,145.40
  4. Step 4: Simplify right side
    29,472.98x = 738,071,040.25
  5. Step 5: Solve for x
    x = 738,071,040.25/29,472.98
  6. Step 6: Final answer
    x = 25,042.29

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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.