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Finding the Fourth Proportional to 34,605.28, 47,705.52 and 24,652

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Solution

The fourth proportional to 34,605.28, 47,705.52 and 24,652 is: 33,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,605.28 : 47,705.52 = 24,652 : x
  2. Step 2: Convert to fraction form
    34,605.28/47,705.52 = 24,652/x
  3. Step 3: Cross multiply
    34,605.28x = 47,705.52 × 24,652
  4. Step 4: Simplify right side
    34,605.28x = 1,176,036,479.04
  5. Step 5: Solve for x
    x = 1,176,036,479.04/34,605.28
  6. Step 6: Final answer
    x = 33,984.31

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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.