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Finding the Fourth Proportional to 29,605.02, 44,406.31 and 16,449

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Solution

The fourth proportional to 29,605.02, 44,406.31 and 16,449 is: 24,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605.02 : 44,406.31 = 16,449 : x
  2. Step 2: Convert to fraction form
    29,605.02/44,406.31 = 16,449/x
  3. Step 3: Cross multiply
    29,605.02x = 44,406.31 × 16,449
  4. Step 4: Simplify right side
    29,605.02x = 730,439,393.19
  5. Step 5: Solve for x
    x = 730,439,393.19/29,605.02
  6. Step 6: Final answer
    x = 24,672.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.