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Finding the Fourth Proportional to 84,119.91, 116,081.38 and 50,127.64

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Solution

The fourth proportional to 84,119.91, 116,081.38 and 50,127.64 is: 69,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,119.91 : 116,081.38 = 50,127.64 : x
  2. Step 2: Convert to fraction form
    84,119.91/116,081.38 = 50,127.64/x
  3. Step 3: Cross multiply
    84,119.91x = 116,081.38 × 50,127.64
  4. Step 4: Simplify right side
    84,119.91x = 5,818,885,627.34
  5. Step 5: Solve for x
    x = 5,818,885,627.34/84,119.91
  6. Step 6: Final answer
    x = 69,173.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.