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Finding the Fourth Proportional to 43,314.24, 64,978.14 and 18,354.44

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Solution

The fourth proportional to 43,314.24, 64,978.14 and 18,354.44 is: 27,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,314.24 : 64,978.14 = 18,354.44 : x
  2. Step 2: Convert to fraction form
    43,314.24/64,978.14 = 18,354.44/x
  3. Step 3: Cross multiply
    43,314.24x = 64,978.14 × 18,354.44
  4. Step 4: Simplify right side
    43,314.24x = 1,192,637,371.94
  5. Step 5: Solve for x
    x = 1,192,637,371.94/43,314.24
  6. Step 6: Final answer
    x = 27,534.53

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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.