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Finding the Fourth Proportional to 70,673.82, 106,010.19 and 18,083.22

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Solution

The fourth proportional to 70,673.82, 106,010.19 and 18,083.22 is: 27,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,673.82 : 106,010.19 = 18,083.22 : x
  2. Step 2: Convert to fraction form
    70,673.82/106,010.19 = 18,083.22/x
  3. Step 3: Cross multiply
    70,673.82x = 106,010.19 × 18,083.22
  4. Step 4: Simplify right side
    70,673.82x = 1,917,005,588.01
  5. Step 5: Solve for x
    x = 1,917,005,588.01/70,673.82
  6. Step 6: Final answer
    x = 27,124.69

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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.