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Finding the Fourth Proportional to 32,208.20, 48,258.88 and 22,801.76

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Solution

The fourth proportional to 32,208.20, 48,258.88 and 22,801.76 is: 34,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.20 : 48,258.88 = 22,801.76 : x
  2. Step 2: Convert to fraction form
    32,208.20/48,258.88 = 22,801.76/x
  3. Step 3: Cross multiply
    32,208.20x = 48,258.88 × 22,801.76
  4. Step 4: Simplify right side
    32,208.20x = 1,100,387,399.63
  5. Step 5: Solve for x
    x = 1,100,387,399.63/32,208.20
  6. Step 6: Final answer
    x = 34,164.82

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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.