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Finding the Fourth Proportional to 57,908.43, 86,840.78 and 24,644.16

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Solution

The fourth proportional to 57,908.43, 86,840.78 and 24,644.16 is: 36,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,908.43 : 86,840.78 = 24,644.16 : x
  2. Step 2: Convert to fraction form
    57,908.43/86,840.78 = 24,644.16/x
  3. Step 3: Cross multiply
    57,908.43x = 86,840.78 × 24,644.16
  4. Step 4: Simplify right side
    57,908.43x = 2,140,117,953.62
  5. Step 5: Solve for x
    x = 2,140,117,953.62/57,908.43
  6. Step 6: Final answer
    x = 36,956.93

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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.