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Finding the Fourth Proportional to 32,769.54, 45,162 and 23,801.40

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Solution

The fourth proportional to 32,769.54, 45,162 and 23,801.40 is: 32,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769.54 : 45,162 = 23,801.40 : x
  2. Step 2: Convert to fraction form
    32,769.54/45,162 = 23,801.40/x
  3. Step 3: Cross multiply
    32,769.54x = 45,162 × 23,801.40
  4. Step 4: Simplify right side
    32,769.54x = 1,074,918,826.80
  5. Step 5: Solve for x
    x = 1,074,918,826.80/32,769.54
  6. Step 6: Final answer
    x = 32,802.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.