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Finding the Fourth Proportional to 48,568.48, 72,838.32 and 20,860

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Solution

The fourth proportional to 48,568.48, 72,838.32 and 20,860 is: 31,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,568.48 : 72,838.32 = 20,860 : x
  2. Step 2: Convert to fraction form
    48,568.48/72,838.32 = 20,860/x
  3. Step 3: Cross multiply
    48,568.48x = 72,838.32 × 20,860
  4. Step 4: Simplify right side
    48,568.48x = 1,519,407,355.20
  5. Step 5: Solve for x
    x = 1,519,407,355.20/48,568.48
  6. Step 6: Final answer
    x = 31,283.82

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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.