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Finding the Fourth Proportional to 50,657.74, 75,986.63 and 13,217.76

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Solution

The fourth proportional to 50,657.74, 75,986.63 and 13,217.76 is: 19,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,657.74 : 75,986.63 = 13,217.76 : x
  2. Step 2: Convert to fraction form
    50,657.74/75,986.63 = 13,217.76/x
  3. Step 3: Cross multiply
    50,657.74x = 75,986.63 × 13,217.76
  4. Step 4: Simplify right side
    50,657.74x = 1,004,373,038.55
  5. Step 5: Solve for x
    x = 1,004,373,038.55/50,657.74
  6. Step 6: Final answer
    x = 19,826.65

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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.