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Finding the Fourth Proportional to 57,873.12, 79,866.24 and 32,724

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Solution

The fourth proportional to 57,873.12, 79,866.24 and 32,724 is: 45,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,873.12 : 79,866.24 = 32,724 : x
  2. Step 2: Convert to fraction form
    57,873.12/79,866.24 = 32,724/x
  3. Step 3: Cross multiply
    57,873.12x = 79,866.24 × 32,724
  4. Step 4: Simplify right side
    57,873.12x = 2,613,542,837.76
  5. Step 5: Solve for x
    x = 2,613,542,837.76/57,873.12
  6. Step 6: Final answer
    x = 45,159.87

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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.