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Finding the Fourth Proportional to 29,970, 41,363.46 and 17,871.99

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Solution

The fourth proportional to 29,970, 41,363.46 and 17,871.99 is: 24,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970 : 41,363.46 = 17,871.99 : x
  2. Step 2: Convert to fraction form
    29,970/41,363.46 = 17,871.99/x
  3. Step 3: Cross multiply
    29,970x = 41,363.46 × 17,871.99
  4. Step 4: Simplify right side
    29,970x = 739,247,343.49
  5. Step 5: Solve for x
    x = 739,247,343.49/29,970
  6. Step 6: Final answer
    x = 24,666.24

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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.