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Finding the Fourth Proportional to 32,570.98, 48,863.49 and 10,081.60

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Solution

The fourth proportional to 32,570.98, 48,863.49 and 10,081.60 is: 15,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,570.98 : 48,863.49 = 10,081.60 : x
  2. Step 2: Convert to fraction form
    32,570.98/48,863.49 = 10,081.60/x
  3. Step 3: Cross multiply
    32,570.98x = 48,863.49 × 10,081.60
  4. Step 4: Simplify right side
    32,570.98x = 492,622,160.78
  5. Step 5: Solve for x
    x = 492,622,160.78/32,570.98
  6. Step 6: Final answer
    x = 15,124.57

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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.