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Finding the Fourth Proportional to 49,509.60, 74,275.92 and 16,227.60

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Solution

The fourth proportional to 49,509.60, 74,275.92 and 16,227.60 is: 24,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509.60 : 74,275.92 = 16,227.60 : x
  2. Step 2: Convert to fraction form
    49,509.60/74,275.92 = 16,227.60/x
  3. Step 3: Cross multiply
    49,509.60x = 74,275.92 × 16,227.60
  4. Step 4: Simplify right side
    49,509.60x = 1,205,319,919.39
  5. Step 5: Solve for x
    x = 1,205,319,919.39/49,509.60
  6. Step 6: Final answer
    x = 24,345.18

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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.