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Finding the Fourth Proportional to 32,764.38, 45,215.80 and 18,617.82

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Solution

The fourth proportional to 32,764.38, 45,215.80 and 18,617.82 is: 25,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,764.38 : 45,215.80 = 18,617.82 : x
  2. Step 2: Convert to fraction form
    32,764.38/45,215.80 = 18,617.82/x
  3. Step 3: Cross multiply
    32,764.38x = 45,215.80 × 18,617.82
  4. Step 4: Simplify right side
    32,764.38x = 841,819,625.56
  5. Step 5: Solve for x
    x = 841,819,625.56/32,764.38
  6. Step 6: Final answer
    x = 25,693.13

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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.