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Finding the Fourth Proportional to 57,882.83, 79,874.44 and 32,384.77

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Solution

The fourth proportional to 57,882.83, 79,874.44 and 32,384.77 is: 44,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,882.83 : 79,874.44 = 32,384.77 : x
  2. Step 2: Convert to fraction form
    57,882.83/79,874.44 = 32,384.77/x
  3. Step 3: Cross multiply
    57,882.83x = 79,874.44 × 32,384.77
  4. Step 4: Simplify right side
    57,882.83x = 2,586,715,087.63
  5. Step 5: Solve for x
    x = 2,586,715,087.63/57,882.83
  6. Step 6: Final answer
    x = 44,688.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.