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Finding the Fourth Proportional to 42,857.38, 64,261.44 and 22,842.22

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Solution

The fourth proportional to 42,857.38, 64,261.44 and 22,842.22 is: 34,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,857.38 : 64,261.44 = 22,842.22 : x
  2. Step 2: Convert to fraction form
    42,857.38/64,261.44 = 22,842.22/x
  3. Step 3: Cross multiply
    42,857.38x = 64,261.44 × 22,842.22
  4. Step 4: Simplify right side
    42,857.38x = 1,467,873,950.00
  5. Step 5: Solve for x
    x = 1,467,873,950.00/42,857.38
  6. Step 6: Final answer
    x = 34,250.20

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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.