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Finding the Fourth Proportional to 32,801.16, 45,265.38 and 18,654

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Solution

The fourth proportional to 32,801.16, 45,265.38 and 18,654 is: 25,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,801.16 : 45,265.38 = 18,654 : x
  2. Step 2: Convert to fraction form
    32,801.16/45,265.38 = 18,654/x
  3. Step 3: Cross multiply
    32,801.16x = 45,265.38 × 18,654
  4. Step 4: Simplify right side
    32,801.16x = 844,380,398.52
  5. Step 5: Solve for x
    x = 844,380,398.52/32,801.16
  6. Step 6: Final answer
    x = 25,742.39

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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.