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Finding the Fourth Proportional to 50,482.88, 75,724.60 and 20,884.68

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Solution

The fourth proportional to 50,482.88, 75,724.60 and 20,884.68 is: 31,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,482.88 : 75,724.60 = 20,884.68 : x
  2. Step 2: Convert to fraction form
    50,482.88/75,724.60 = 20,884.68/x
  3. Step 3: Cross multiply
    50,482.88x = 75,724.60 × 20,884.68
  4. Step 4: Simplify right side
    50,482.88x = 1,581,484,039.13
  5. Step 5: Solve for x
    x = 1,581,484,039.13/50,482.88
  6. Step 6: Final answer
    x = 31,327.14

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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.