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Finding the Fourth Proportional to 21,081.50, 31,627.43 and 7,043.02

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Solution

The fourth proportional to 21,081.50, 31,627.43 and 7,043.02 is: 10,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,081.50 : 31,627.43 = 7,043.02 : x
  2. Step 2: Convert to fraction form
    21,081.50/31,627.43 = 7,043.02/x
  3. Step 3: Cross multiply
    21,081.50x = 31,627.43 × 7,043.02
  4. Step 4: Simplify right side
    21,081.50x = 222,752,534.17
  5. Step 5: Solve for x
    x = 222,752,534.17/21,081.50
  6. Step 6: Final answer
    x = 10,566.26

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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.