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Finding the Fourth Proportional to 34,599.28, 47,697.24 and 24,646

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Solution

The fourth proportional to 34,599.28, 47,697.24 and 24,646 is: 33,976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,599.28 : 47,697.24 = 24,646 : x
  2. Step 2: Convert to fraction form
    34,599.28/47,697.24 = 24,646/x
  3. Step 3: Cross multiply
    34,599.28x = 47,697.24 × 24,646
  4. Step 4: Simplify right side
    34,599.28x = 1,175,546,177.04
  5. Step 5: Solve for x
    x = 1,175,546,177.04/34,599.28
  6. Step 6: Final answer
    x = 33,976.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.