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Finding the Fourth Proportional to 57,764.78, 86,646.49 and 18,322.24

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Solution

The fourth proportional to 57,764.78, 86,646.49 and 18,322.24 is: 27,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,764.78 : 86,646.49 = 18,322.24 : x
  2. Step 2: Convert to fraction form
    57,764.78/86,646.49 = 18,322.24/x
  3. Step 3: Cross multiply
    57,764.78x = 86,646.49 × 18,322.24
  4. Step 4: Simplify right side
    57,764.78x = 1,587,557,522.52
  5. Step 5: Solve for x
    x = 1,587,557,522.52/57,764.78
  6. Step 6: Final answer
    x = 27,483.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.