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Finding the Fourth Proportional to 32,534.40, 48,801.60 and 19,228.80

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Solution

The fourth proportional to 32,534.40, 48,801.60 and 19,228.80 is: 28,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,534.40 : 48,801.60 = 19,228.80 : x
  2. Step 2: Convert to fraction form
    32,534.40/48,801.60 = 19,228.80/x
  3. Step 3: Cross multiply
    32,534.40x = 48,801.60 × 19,228.80
  4. Step 4: Simplify right side
    32,534.40x = 938,396,206.08
  5. Step 5: Solve for x
    x = 938,396,206.08/32,534.40
  6. Step 6: Final answer
    x = 28,843.20

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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.