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Finding the Fourth Proportional to 29,472.56, 40,672.44 and 16,044

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Solution

The fourth proportional to 29,472.56, 40,672.44 and 16,044 is: 22,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,472.56 : 40,672.44 = 16,044 : x
  2. Step 2: Convert to fraction form
    29,472.56/40,672.44 = 16,044/x
  3. Step 3: Cross multiply
    29,472.56x = 40,672.44 × 16,044
  4. Step 4: Simplify right side
    29,472.56x = 652,548,627.36
  5. Step 5: Solve for x
    x = 652,548,627.36/29,472.56
  6. Step 6: Final answer
    x = 22,140.89

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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.