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Finding the Fourth Proportional to 32,742.66, 45,149.12 and 22,113.84

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Solution

The fourth proportional to 32,742.66, 45,149.12 and 22,113.84 is: 30,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,742.66 : 45,149.12 = 22,113.84 : x
  2. Step 2: Convert to fraction form
    32,742.66/45,149.12 = 22,113.84/x
  3. Step 3: Cross multiply
    32,742.66x = 45,149.12 × 22,113.84
  4. Step 4: Simplify right side
    32,742.66x = 998,420,305.25
  5. Step 5: Solve for x
    x = 998,420,305.25/32,742.66
  6. Step 6: Final answer
    x = 30,492.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.