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Finding the Fourth Proportional to 47,734.95, 65,859.41 and 27,584.49

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Solution

The fourth proportional to 47,734.95, 65,859.41 and 27,584.49 is: 38,058.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,734.95 : 65,859.41 = 27,584.49 : x
  2. Step 2: Convert to fraction form
    47,734.95/65,859.41 = 27,584.49/x
  3. Step 3: Cross multiply
    47,734.95x = 65,859.41 × 27,584.49
  4. Step 4: Simplify right side
    47,734.95x = 1,816,698,098.63
  5. Step 5: Solve for x
    x = 1,816,698,098.63/47,734.95
  6. Step 6: Final answer
    x = 38,058.03

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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.