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Finding the Fourth Proportional to 34,506.88, 51,773.76 and 13,732.48

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Solution

The fourth proportional to 34,506.88, 51,773.76 and 13,732.48 is: 20,604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506.88 : 51,773.76 = 13,732.48 : x
  2. Step 2: Convert to fraction form
    34,506.88/51,773.76 = 13,732.48/x
  3. Step 3: Cross multiply
    34,506.88x = 51,773.76 × 13,732.48
  4. Step 4: Simplify right side
    34,506.88x = 710,982,123.72
  5. Step 5: Solve for x
    x = 710,982,123.72/34,506.88
  6. Step 6: Final answer
    x = 20,604.07

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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.