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Finding the Fourth Proportional to 81,937.51, 113,047.36 and 49,685.06

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Solution

The fourth proportional to 81,937.51, 113,047.36 and 49,685.06 is: 68,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,937.51 : 113,047.36 = 49,685.06 : x
  2. Step 2: Convert to fraction form
    81,937.51/113,047.36 = 49,685.06/x
  3. Step 3: Cross multiply
    81,937.51x = 113,047.36 × 49,685.06
  4. Step 4: Simplify right side
    81,937.51x = 5,616,765,302.33
  5. Step 5: Solve for x
    x = 5,616,765,302.33/81,937.51
  6. Step 6: Final answer
    x = 68,549.38

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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.