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Finding the Fourth Proportional to 57,886.56, 79,856.64 and 34,012.80

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Solution

The fourth proportional to 57,886.56, 79,856.64 and 34,012.80 is: 46,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,886.56 : 79,856.64 = 34,012.80 : x
  2. Step 2: Convert to fraction form
    57,886.56/79,856.64 = 34,012.80/x
  3. Step 3: Cross multiply
    57,886.56x = 79,856.64 × 34,012.80
  4. Step 4: Simplify right side
    57,886.56x = 2,716,147,924.99
  5. Step 5: Solve for x
    x = 2,716,147,924.99/57,886.56
  6. Step 6: Final answer
    x = 46,921.91

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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.