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Finding the Fourth Proportional to 48,568.74, 72,802.06 and 22,251.84

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Solution

The fourth proportional to 48,568.74, 72,802.06 and 22,251.84 is: 33,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,568.74 : 72,802.06 = 22,251.84 : x
  2. Step 2: Convert to fraction form
    48,568.74/72,802.06 = 22,251.84/x
  3. Step 3: Cross multiply
    48,568.74x = 72,802.06 × 22,251.84
  4. Step 4: Simplify right side
    48,568.74x = 1,619,979,790.79
  5. Step 5: Solve for x
    x = 1,619,979,790.79/48,568.74
  6. Step 6: Final answer
    x = 33,354.37

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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.