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Finding the Fourth Proportional to 57,509.56, 79,362.38 and 32,359

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Solution

The fourth proportional to 57,509.56, 79,362.38 and 32,359 is: 44,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,509.56 : 79,362.38 = 32,359 : x
  2. Step 2: Convert to fraction form
    57,509.56/79,362.38 = 32,359/x
  3. Step 3: Cross multiply
    57,509.56x = 79,362.38 × 32,359
  4. Step 4: Simplify right side
    57,509.56x = 2,568,087,254.42
  5. Step 5: Solve for x
    x = 2,568,087,254.42/57,509.56
  6. Step 6: Final answer
    x = 44,654.96

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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.