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Finding the Fourth Proportional to 66,033.25, 99,046.43 and 21,654.16

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Solution

The fourth proportional to 66,033.25, 99,046.43 and 21,654.16 is: 32,480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,033.25 : 99,046.43 = 21,654.16 : x
  2. Step 2: Convert to fraction form
    66,033.25/99,046.43 = 21,654.16/x
  3. Step 3: Cross multiply
    66,033.25x = 99,046.43 × 21,654.16
  4. Step 4: Simplify right side
    66,033.25x = 2,144,766,967.97
  5. Step 5: Solve for x
    x = 2,144,766,967.97/66,033.25
  6. Step 6: Final answer
    x = 32,480.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.