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Finding the Fourth Proportional to 32,493.19, 48,729.86 and 13,772.88

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Solution

The fourth proportional to 32,493.19, 48,729.86 and 13,772.88 is: 20,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.19 : 48,729.86 = 13,772.88 : x
  2. Step 2: Convert to fraction form
    32,493.19/48,729.86 = 13,772.88/x
  3. Step 3: Cross multiply
    32,493.19x = 48,729.86 × 13,772.88
  4. Step 4: Simplify right side
    32,493.19x = 671,150,304.98
  5. Step 5: Solve for x
    x = 671,150,304.98/32,493.19
  6. Step 6: Final answer
    x = 20,655.11

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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.