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Finding the Fourth Proportional to 32,801.33, 49,202.28 and 9,427.76

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Solution

The fourth proportional to 32,801.33, 49,202.28 and 9,427.76 is: 14,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,801.33 : 49,202.28 = 9,427.76 : x
  2. Step 2: Convert to fraction form
    32,801.33/49,202.28 = 9,427.76/x
  3. Step 3: Cross multiply
    32,801.33x = 49,202.28 × 9,427.76
  4. Step 4: Simplify right side
    32,801.33x = 463,867,287.29
  5. Step 5: Solve for x
    x = 463,867,287.29/32,801.33
  6. Step 6: Final answer
    x = 14,141.72

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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.