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Finding the Fourth Proportional to 32,178.60, 48,184.32 and 22,214.16

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Solution

The fourth proportional to 32,178.60, 48,184.32 and 22,214.16 is: 33,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,178.60 : 48,184.32 = 22,214.16 : x
  2. Step 2: Convert to fraction form
    32,178.60/48,184.32 = 22,214.16/x
  3. Step 3: Cross multiply
    32,178.60x = 48,184.32 × 22,214.16
  4. Step 4: Simplify right side
    32,178.60x = 1,070,374,193.97
  5. Step 5: Solve for x
    x = 1,070,374,193.97/32,178.60
  6. Step 6: Final answer
    x = 33,263.54

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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.