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Finding the Fourth Proportional to 32,189.20, 48,283.80 and 8,815.60

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Solution

The fourth proportional to 32,189.20, 48,283.80 and 8,815.60 is: 13,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.20 : 48,283.80 = 8,815.60 : x
  2. Step 2: Convert to fraction form
    32,189.20/48,283.80 = 8,815.60/x
  3. Step 3: Cross multiply
    32,189.20x = 48,283.80 × 8,815.60
  4. Step 4: Simplify right side
    32,189.20x = 425,650,667.28
  5. Step 5: Solve for x
    x = 425,650,667.28/32,189.20
  6. Step 6: Final answer
    x = 13,223.40

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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.