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Finding the Fourth Proportional to 32,005.20, 48,022.20 and 15,358.80

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Solution

The fourth proportional to 32,005.20, 48,022.20 and 15,358.80 is: 23,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.20 : 48,022.20 = 15,358.80 : x
  2. Step 2: Convert to fraction form
    32,005.20/48,022.20 = 15,358.80/x
  3. Step 3: Cross multiply
    32,005.20x = 48,022.20 × 15,358.80
  4. Step 4: Simplify right side
    32,005.20x = 737,563,365.36
  5. Step 5: Solve for x
    x = 737,563,365.36/32,005.20
  6. Step 6: Final answer
    x = 23,045.11

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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.