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Finding the Fourth Proportional to 35,757.86, 49,346.01 and 19,842.30

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Solution

The fourth proportional to 35,757.86, 49,346.01 and 19,842.30 is: 27,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,757.86 : 49,346.01 = 19,842.30 : x
  2. Step 2: Convert to fraction form
    35,757.86/49,346.01 = 19,842.30/x
  3. Step 3: Cross multiply
    35,757.86x = 49,346.01 × 19,842.30
  4. Step 4: Simplify right side
    35,757.86x = 979,138,334.22
  5. Step 5: Solve for x
    x = 979,138,334.22/35,757.86
  6. Step 6: Final answer
    x = 27,382.47

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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.