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Finding the Fourth Proportional to 57,477.51, 86,249.94 and 24,195

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Solution

The fourth proportional to 57,477.51, 86,249.94 and 24,195 is: 36,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,477.51 : 86,249.94 = 24,195 : x
  2. Step 2: Convert to fraction form
    57,477.51/86,249.94 = 24,195/x
  3. Step 3: Cross multiply
    57,477.51x = 86,249.94 × 24,195
  4. Step 4: Simplify right side
    57,477.51x = 2,086,817,298.30
  5. Step 5: Solve for x
    x = 2,086,817,298.30/57,477.51
  6. Step 6: Final answer
    x = 36,306.68

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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.