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Finding the Fourth Proportional to 32,007.20, 48,032.40 and 20,886.80

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Solution

The fourth proportional to 32,007.20, 48,032.40 and 20,886.80 is: 31,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.20 : 48,032.40 = 20,886.80 : x
  2. Step 2: Convert to fraction form
    32,007.20/48,032.40 = 20,886.80/x
  3. Step 3: Cross multiply
    32,007.20x = 48,032.40 × 20,886.80
  4. Step 4: Simplify right side
    32,007.20x = 1,003,243,132.32
  5. Step 5: Solve for x
    x = 1,003,243,132.32/32,007.20
  6. Step 6: Final answer
    x = 31,344.30

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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.