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Finding the Fourth Proportional to 32,493.82, 48,730.80 and 13,773.50

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Solution

The fourth proportional to 32,493.82, 48,730.80 and 13,773.50 is: 20,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.82 : 48,730.80 = 13,773.50 : x
  2. Step 2: Convert to fraction form
    32,493.82/48,730.80 = 13,773.50/x
  3. Step 3: Cross multiply
    32,493.82x = 48,730.80 × 13,773.50
  4. Step 4: Simplify right side
    32,493.82x = 671,193,673.80
  5. Step 5: Solve for x
    x = 671,193,673.80/32,493.82
  6. Step 6: Final answer
    x = 20,656.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.