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Finding the Fourth Proportional to 50,570.82, 75,856.23 and 13,127.78

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Solution

The fourth proportional to 50,570.82, 75,856.23 and 13,127.78 is: 19,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,570.82 : 75,856.23 = 13,127.78 : x
  2. Step 2: Convert to fraction form
    50,570.82/75,856.23 = 13,127.78/x
  3. Step 3: Cross multiply
    50,570.82x = 75,856.23 × 13,127.78
  4. Step 4: Simplify right side
    50,570.82x = 995,823,899.07
  5. Step 5: Solve for x
    x = 995,823,899.07/50,570.82
  6. Step 6: Final answer
    x = 19,691.67

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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.