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Finding the Fourth Proportional to 84,301.44, 116,299.44 and 50,748

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Solution

The fourth proportional to 84,301.44, 116,299.44 and 50,748 is: 70,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,301.44 : 116,299.44 = 50,748 : x
  2. Step 2: Convert to fraction form
    84,301.44/116,299.44 = 50,748/x
  3. Step 3: Cross multiply
    84,301.44x = 116,299.44 × 50,748
  4. Step 4: Simplify right side
    84,301.44x = 5,901,963,981.12
  5. Step 5: Solve for x
    x = 5,901,963,981.12/84,301.44
  6. Step 6: Final answer
    x = 70,010.24

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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.