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Finding the Fourth Proportional to 57,780.74, 86,674.35 and 16,224.50

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Solution

The fourth proportional to 57,780.74, 86,674.35 and 16,224.50 is: 24,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,780.74 : 86,674.35 = 16,224.50 : x
  2. Step 2: Convert to fraction form
    57,780.74/86,674.35 = 16,224.50/x
  3. Step 3: Cross multiply
    57,780.74x = 86,674.35 × 16,224.50
  4. Step 4: Simplify right side
    57,780.74x = 1,406,247,991.58
  5. Step 5: Solve for x
    x = 1,406,247,991.58/57,780.74
  6. Step 6: Final answer
    x = 24,337.66

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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.