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Finding the Fourth Proportional to 83,186.82, 114,797.81 and 45,461.07

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Solution

The fourth proportional to 83,186.82, 114,797.81 and 45,461.07 is: 62,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,186.82 : 114,797.81 = 45,461.07 : x
  2. Step 2: Convert to fraction form
    83,186.82/114,797.81 = 45,461.07/x
  3. Step 3: Cross multiply
    83,186.82x = 114,797.81 × 45,461.07
  4. Step 4: Simplify right side
    83,186.82x = 5,218,831,048.95
  5. Step 5: Solve for x
    x = 5,218,831,048.95/83,186.82
  6. Step 6: Final answer
    x = 62,736.27

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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.