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Finding the Fourth Proportional to 49,675.60, 74,513.40 and 16,400.80

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Solution

The fourth proportional to 49,675.60, 74,513.40 and 16,400.80 is: 24,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,675.60 : 74,513.40 = 16,400.80 : x
  2. Step 2: Convert to fraction form
    49,675.60/74,513.40 = 16,400.80/x
  3. Step 3: Cross multiply
    49,675.60x = 74,513.40 × 16,400.80
  4. Step 4: Simplify right side
    49,675.60x = 1,222,079,370.72
  5. Step 5: Solve for x
    x = 1,222,079,370.72/49,675.60
  6. Step 6: Final answer
    x = 24,601.20

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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.