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Finding the Fourth Proportional to 57,708.78, 86,579.10 and 24,411.30

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Solution

The fourth proportional to 57,708.78, 86,579.10 and 24,411.30 is: 36,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,708.78 : 86,579.10 = 24,411.30 : x
  2. Step 2: Convert to fraction form
    57,708.78/86,579.10 = 24,411.30/x
  3. Step 3: Cross multiply
    57,708.78x = 86,579.10 × 24,411.30
  4. Step 4: Simplify right side
    57,708.78x = 2,113,508,383.83
  5. Step 5: Solve for x
    x = 2,113,508,383.83/57,708.78
  6. Step 6: Final answer
    x = 36,623.69

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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.