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Finding the Fourth Proportional to 29,969.88, 41,363.29 and 17,871.87

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Solution

The fourth proportional to 29,969.88, 41,363.29 and 17,871.87 is: 24,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,969.88 : 41,363.29 = 17,871.87 : x
  2. Step 2: Convert to fraction form
    29,969.88/41,363.29 = 17,871.87/x
  3. Step 3: Cross multiply
    29,969.88x = 41,363.29 × 17,871.87
  4. Step 4: Simplify right side
    29,969.88x = 739,239,341.65
  5. Step 5: Solve for x
    x = 739,239,341.65/29,969.88
  6. Step 6: Final answer
    x = 24,666.08

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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.