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Finding the Fourth Proportional to 84,222.43, 116,227.13 and 45,981.99

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Solution

The fourth proportional to 84,222.43, 116,227.13 and 45,981.99 is: 63,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,222.43 : 116,227.13 = 45,981.99 : x
  2. Step 2: Convert to fraction form
    84,222.43/116,227.13 = 45,981.99/x
  3. Step 3: Cross multiply
    84,222.43x = 116,227.13 × 45,981.99
  4. Step 4: Simplify right side
    84,222.43x = 5,344,354,499.48
  5. Step 5: Solve for x
    x = 5,344,354,499.48/84,222.43
  6. Step 6: Final answer
    x = 63,455.24

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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.