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Finding the Fourth Proportional to 50,471.36, 75,707.04 and 20,856.65

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Solution

The fourth proportional to 50,471.36, 75,707.04 and 20,856.65 is: 31,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,471.36 : 75,707.04 = 20,856.65 : x
  2. Step 2: Convert to fraction form
    50,471.36/75,707.04 = 20,856.65/x
  3. Step 3: Cross multiply
    50,471.36x = 75,707.04 × 20,856.65
  4. Step 4: Simplify right side
    50,471.36x = 1,578,995,235.82
  5. Step 5: Solve for x
    x = 1,578,995,235.82/50,471.36
  6. Step 6: Final answer
    x = 31,284.98

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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.