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Finding the Fourth Proportional to 32,654.91, 45,012.60 and 21,304.38

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Solution

The fourth proportional to 32,654.91, 45,012.60 and 21,304.38 is: 29,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,654.91 : 45,012.60 = 21,304.38 : x
  2. Step 2: Convert to fraction form
    32,654.91/45,012.60 = 21,304.38/x
  3. Step 3: Cross multiply
    32,654.91x = 45,012.60 × 21,304.38
  4. Step 4: Simplify right side
    32,654.91x = 958,965,535.19
  5. Step 5: Solve for x
    x = 958,965,535.19/32,654.91
  6. Step 6: Final answer
    x = 29,366.66

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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.