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Finding the Fourth Proportional to 32,290.25, 48,436.25 and 10,103.13

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Solution

The fourth proportional to 32,290.25, 48,436.25 and 10,103.13 is: 15,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,290.25 : 48,436.25 = 10,103.13 : x
  2. Step 2: Convert to fraction form
    32,290.25/48,436.25 = 10,103.13/x
  3. Step 3: Cross multiply
    32,290.25x = 48,436.25 × 10,103.13
  4. Step 4: Simplify right side
    32,290.25x = 489,357,679.95
  5. Step 5: Solve for x
    x = 489,357,679.95/32,290.25
  6. Step 6: Final answer
    x = 15,154.97

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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.