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Finding the Fourth Proportional to 32,441.49, 48,647.12 and 16,854.93

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Solution

The fourth proportional to 32,441.49, 48,647.12 and 16,854.93 is: 25,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441.49 : 48,647.12 = 16,854.93 : x
  2. Step 2: Convert to fraction form
    32,441.49/48,647.12 = 16,854.93/x
  3. Step 3: Cross multiply
    32,441.49x = 48,647.12 × 16,854.93
  4. Step 4: Simplify right side
    32,441.49x = 819,943,718.03
  5. Step 5: Solve for x
    x = 819,943,718.03/32,441.49
  6. Step 6: Final answer
    x = 25,274.54

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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.