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Finding the Fourth Proportional to 49,657.60, 74,486.40 and 16,382.80

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Solution

The fourth proportional to 49,657.60, 74,486.40 and 16,382.80 is: 24,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,657.60 : 74,486.40 = 16,382.80 : x
  2. Step 2: Convert to fraction form
    49,657.60/74,486.40 = 16,382.80/x
  3. Step 3: Cross multiply
    49,657.60x = 74,486.40 × 16,382.80
  4. Step 4: Simplify right side
    49,657.60x = 1,220,295,793.92
  5. Step 5: Solve for x
    x = 1,220,295,793.92/49,657.60
  6. Step 6: Final answer
    x = 24,574.20

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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.