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Finding the Fourth Proportional to 50,212.80, 75,322.08 and 15,156

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Solution

The fourth proportional to 50,212.80, 75,322.08 and 15,156 is: 22,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,212.80 : 75,322.08 = 15,156 : x
  2. Step 2: Convert to fraction form
    50,212.80/75,322.08 = 15,156/x
  3. Step 3: Cross multiply
    50,212.80x = 75,322.08 × 15,156
  4. Step 4: Simplify right side
    50,212.80x = 1,141,581,444.48
  5. Step 5: Solve for x
    x = 1,141,581,444.48/50,212.80
  6. Step 6: Final answer
    x = 22,734.87

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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.