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Finding the Fourth Proportional to 39,729.88, 59,593 and 11,648.80

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Solution

The fourth proportional to 39,729.88, 59,593 and 11,648.80 is: 17,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,729.88 : 59,593 = 11,648.80 : x
  2. Step 2: Convert to fraction form
    39,729.88/59,593 = 11,648.80/x
  3. Step 3: Cross multiply
    39,729.88x = 59,593 × 11,648.80
  4. Step 4: Simplify right side
    39,729.88x = 694,186,938.40
  5. Step 5: Solve for x
    x = 694,186,938.40/39,729.88
  6. Step 6: Final answer
    x = 17,472.67

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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.