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Finding the Fourth Proportional to 27,637, 41,461.62 and 10,106.44

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Solution

The fourth proportional to 27,637, 41,461.62 and 10,106.44 is: 15,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,637 : 41,461.62 = 10,106.44 : x
  2. Step 2: Convert to fraction form
    27,637/41,461.62 = 10,106.44/x
  3. Step 3: Cross multiply
    27,637x = 41,461.62 × 10,106.44
  4. Step 4: Simplify right side
    27,637x = 419,029,374.83
  5. Step 5: Solve for x
    x = 419,029,374.83/27,637
  6. Step 6: Final answer
    x = 15,161.90

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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.