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Finding the Fourth Proportional to 83,148, 124,723.08 and 27,744

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Solution

The fourth proportional to 83,148, 124,723.08 and 27,744 is: 41,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,148 : 124,723.08 = 27,744 : x
  2. Step 2: Convert to fraction form
    83,148/124,723.08 = 27,744/x
  3. Step 3: Cross multiply
    83,148x = 124,723.08 × 27,744
  4. Step 4: Simplify right side
    83,148x = 3,460,317,131.52
  5. Step 5: Solve for x
    x = 3,460,317,131.52/83,148
  6. Step 6: Final answer
    x = 41,616.36

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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.