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Finding the Fourth Proportional to 57,882.56, 79,874.16 and 32,384.56

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Solution

The fourth proportional to 57,882.56, 79,874.16 and 32,384.56 is: 44,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,882.56 : 79,874.16 = 32,384.56 : x
  2. Step 2: Convert to fraction form
    57,882.56/79,874.16 = 32,384.56/x
  3. Step 3: Cross multiply
    57,882.56x = 79,874.16 × 32,384.56
  4. Step 4: Simplify right side
    57,882.56x = 2,586,689,526.97
  5. Step 5: Solve for x
    x = 2,586,689,526.97/57,882.56
  6. Step 6: Final answer
    x = 44,688.58

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1.5x scale

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.