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Finding the Fourth Proportional to 32,976.95, 49,464.98 and 8,016.93

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Solution

The fourth proportional to 32,976.95, 49,464.98 and 8,016.93 is: 12,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976.95 : 49,464.98 = 8,016.93 : x
  2. Step 2: Convert to fraction form
    32,976.95/49,464.98 = 8,016.93/x
  3. Step 3: Cross multiply
    32,976.95x = 49,464.98 × 8,016.93
  4. Step 4: Simplify right side
    32,976.95x = 396,557,282.11
  5. Step 5: Solve for x
    x = 396,557,282.11/32,976.95
  6. Step 6: Final answer
    x = 12,025.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.