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Finding the Fourth Proportional to 57,688.39, 86,541.74 and 24,408.71

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Solution

The fourth proportional to 57,688.39, 86,541.74 and 24,408.71 is: 36,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,688.39 : 86,541.74 = 24,408.71 : x
  2. Step 2: Convert to fraction form
    57,688.39/86,541.74 = 24,408.71/x
  3. Step 3: Cross multiply
    57,688.39x = 86,541.74 × 24,408.71
  4. Step 4: Simplify right side
    57,688.39x = 2,112,372,234.56
  5. Step 5: Solve for x
    x = 2,112,372,234.56/57,688.39
  6. Step 6: Final answer
    x = 36,616.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.