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Finding the Fourth Proportional to 30,412.35, 41,947.92 and 27,902.77

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Solution

The fourth proportional to 30,412.35, 41,947.92 and 27,902.77 is: 38,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.35 : 41,947.92 = 27,902.77 : x
  2. Step 2: Convert to fraction form
    30,412.35/41,947.92 = 27,902.77/x
  3. Step 3: Cross multiply
    30,412.35x = 41,947.92 × 27,902.77
  4. Step 4: Simplify right side
    30,412.35x = 1,170,463,058.87
  5. Step 5: Solve for x
    x = 1,170,463,058.87/30,412.35
  6. Step 6: Final answer
    x = 38,486.44

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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.