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Finding the Fourth Proportional to 48,797.64, 73,139.94 and 22,447.08

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Solution

The fourth proportional to 48,797.64, 73,139.94 and 22,447.08 is: 33,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,797.64 : 73,139.94 = 22,447.08 : x
  2. Step 2: Convert to fraction form
    48,797.64/73,139.94 = 22,447.08/x
  3. Step 3: Cross multiply
    48,797.64x = 73,139.94 × 22,447.08
  4. Step 4: Simplify right side
    48,797.64x = 1,641,778,084.38
  5. Step 5: Solve for x
    x = 1,641,778,084.38/48,797.64
  6. Step 6: Final answer
    x = 33,644.62

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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.