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Finding the Fourth Proportional to 57,788.42, 79,757.16 and 35,134.48

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Solution

The fourth proportional to 57,788.42, 79,757.16 and 35,134.48 is: 48,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,788.42 : 79,757.16 = 35,134.48 : x
  2. Step 2: Convert to fraction form
    57,788.42/79,757.16 = 35,134.48/x
  3. Step 3: Cross multiply
    57,788.42x = 79,757.16 × 35,134.48
  4. Step 4: Simplify right side
    57,788.42x = 2,802,226,342.88
  5. Step 5: Solve for x
    x = 2,802,226,342.88/57,788.42
  6. Step 6: Final answer
    x = 48,491.14

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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.