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Finding the Fourth Proportional to 83,106, 124,665.48 and 27,702

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Solution

The fourth proportional to 83,106, 124,665.48 and 27,702 is: 41,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,106 : 124,665.48 = 27,702 : x
  2. Step 2: Convert to fraction form
    83,106/124,665.48 = 27,702/x
  3. Step 3: Cross multiply
    83,106x = 124,665.48 × 27,702
  4. Step 4: Simplify right side
    83,106x = 3,453,483,126.96
  5. Step 5: Solve for x
    x = 3,453,483,126.96/83,106
  6. Step 6: Final answer
    x = 41,555.16

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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.