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Finding the Fourth Proportional to 32,180.80, 48,291.06 and 15,542.48

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Solution

The fourth proportional to 32,180.80, 48,291.06 and 15,542.48 is: 23,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,180.80 : 48,291.06 = 15,542.48 : x
  2. Step 2: Convert to fraction form
    32,180.80/48,291.06 = 15,542.48/x
  3. Step 3: Cross multiply
    32,180.80x = 48,291.06 × 15,542.48
  4. Step 4: Simplify right side
    32,180.80x = 750,562,834.23
  5. Step 5: Solve for x
    x = 750,562,834.23/32,180.80
  6. Step 6: Final answer
    x = 23,323.31

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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.