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Finding the Fourth Proportional to 49,892.51, 68,849.94 and 29,739

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Solution

The fourth proportional to 49,892.51, 68,849.94 and 29,739 is: 41,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,892.51 : 68,849.94 = 29,739 : x
  2. Step 2: Convert to fraction form
    49,892.51/68,849.94 = 29,739/x
  3. Step 3: Cross multiply
    49,892.51x = 68,849.94 × 29,739
  4. Step 4: Simplify right side
    49,892.51x = 2,047,528,365.66
  5. Step 5: Solve for x
    x = 2,047,528,365.66/49,892.51
  6. Step 6: Final answer
    x = 41,038.79

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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.