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Finding the Fourth Proportional to 32,020.40, 48,001.80 and 20,327.60

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Solution

The fourth proportional to 32,020.40, 48,001.80 and 20,327.60 is: 30,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020.40 : 48,001.80 = 20,327.60 : x
  2. Step 2: Convert to fraction form
    32,020.40/48,001.80 = 20,327.60/x
  3. Step 3: Cross multiply
    32,020.40x = 48,001.80 × 20,327.60
  4. Step 4: Simplify right side
    32,020.40x = 975,761,389.68
  5. Step 5: Solve for x
    x = 975,761,389.68/32,020.40
  6. Step 6: Final answer
    x = 30,473.12

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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.