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Finding the Fourth Proportional to 43,227.78, 64,849.50 and 21,041.14

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Solution

The fourth proportional to 43,227.78, 64,849.50 and 21,041.14 is: 31,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,227.78 : 64,849.50 = 21,041.14 : x
  2. Step 2: Convert to fraction form
    43,227.78/64,849.50 = 21,041.14/x
  3. Step 3: Cross multiply
    43,227.78x = 64,849.50 × 21,041.14
  4. Step 4: Simplify right side
    43,227.78x = 1,364,507,408.43
  5. Step 5: Solve for x
    x = 1,364,507,408.43/43,227.78
  6. Step 6: Final answer
    x = 31,565.52

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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.