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Finding the Fourth Proportional to 27,062.20, 40,611.30 and 9,532

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Solution

The fourth proportional to 27,062.20, 40,611.30 and 9,532 is: 14,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,062.20 : 40,611.30 = 9,532 : x
  2. Step 2: Convert to fraction form
    27,062.20/40,611.30 = 9,532/x
  3. Step 3: Cross multiply
    27,062.20x = 40,611.30 × 9,532
  4. Step 4: Simplify right side
    27,062.20x = 387,106,911.60
  5. Step 5: Solve for x
    x = 387,106,911.60/27,062.20
  6. Step 6: Final answer
    x = 14,304.34

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