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Finding the Fourth Proportional to 50,411.69, 69,569.75 and 27,749.51

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Solution

The fourth proportional to 50,411.69, 69,569.75 and 27,749.51 is: 38,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,411.69 : 69,569.75 = 27,749.51 : x
  2. Step 2: Convert to fraction form
    50,411.69/69,569.75 = 27,749.51/x
  3. Step 3: Cross multiply
    50,411.69x = 69,569.75 × 27,749.51
  4. Step 4: Simplify right side
    50,411.69x = 1,930,526,473.32
  5. Step 5: Solve for x
    x = 1,930,526,473.32/50,411.69
  6. Step 6: Final answer
    x = 38,295.21

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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.