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Finding the Fourth Proportional to 57,782.74, 86,677.35 and 16,226.50

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Solution

The fourth proportional to 57,782.74, 86,677.35 and 16,226.50 is: 24,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.74 : 86,677.35 = 16,226.50 : x
  2. Step 2: Convert to fraction form
    57,782.74/86,677.35 = 16,226.50/x
  3. Step 3: Cross multiply
    57,782.74x = 86,677.35 × 16,226.50
  4. Step 4: Simplify right side
    57,782.74x = 1,406,470,019.78
  5. Step 5: Solve for x
    x = 1,406,470,019.78/57,782.74
  6. Step 6: Final answer
    x = 24,340.66

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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.