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Finding the Fourth Proportional to 36,712, 55,067.82 and 10,416.79

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Solution

The fourth proportional to 36,712, 55,067.82 and 10,416.79 is: 15,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,712 : 55,067.82 = 10,416.79 : x
  2. Step 2: Convert to fraction form
    36,712/55,067.82 = 10,416.79/x
  3. Step 3: Cross multiply
    36,712x = 55,067.82 × 10,416.79
  4. Step 4: Simplify right side
    36,712x = 573,629,916.70
  5. Step 5: Solve for x
    x = 573,629,916.70/36,712
  6. Step 6: Final answer
    x = 15,625.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.