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Finding the Fourth Proportional to 32,441.95, 48,658.73 and 10,257.57

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Solution

The fourth proportional to 32,441.95, 48,658.73 and 10,257.57 is: 15,385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441.95 : 48,658.73 = 10,257.57 : x
  2. Step 2: Convert to fraction form
    32,441.95/48,658.73 = 10,257.57/x
  3. Step 3: Cross multiply
    32,441.95x = 48,658.73 × 10,257.57
  4. Step 4: Simplify right side
    32,441.95x = 499,120,277.80
  5. Step 5: Solve for x
    x = 499,120,277.80/32,441.95
  6. Step 6: Final answer
    x = 15,385.03

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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.