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Finding the Fourth Proportional to 32,447.82, 48,675.20 and 13,729.76

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Solution

The fourth proportional to 32,447.82, 48,675.20 and 13,729.76 is: 20,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.82 : 48,675.20 = 13,729.76 : x
  2. Step 2: Convert to fraction form
    32,447.82/48,675.20 = 13,729.76/x
  3. Step 3: Cross multiply
    32,447.82x = 48,675.20 × 13,729.76
  4. Step 4: Simplify right side
    32,447.82x = 668,298,813.95
  5. Step 5: Solve for x
    x = 668,298,813.95/32,447.82
  6. Step 6: Final answer
    x = 20,596.11

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1.5x scale

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.