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Finding the Fourth Proportional to 32,705.80, 45,152.10 and 22,511.68

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Solution

The fourth proportional to 32,705.80, 45,152.10 and 22,511.68 is: 31,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.80 : 45,152.10 = 22,511.68 : x
  2. Step 2: Convert to fraction form
    32,705.80/45,152.10 = 22,511.68/x
  3. Step 3: Cross multiply
    32,705.80x = 45,152.10 × 22,511.68
  4. Step 4: Simplify right side
    32,705.80x = 1,016,449,626.53
  5. Step 5: Solve for x
    x = 1,016,449,626.53/32,705.80
  6. Step 6: Final answer
    x = 31,078.57

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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.