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Finding the Fourth Proportional to 82,662, 114,073.29 and 44,935.98

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Solution

The fourth proportional to 82,662, 114,073.29 and 44,935.98 is: 62,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,662 : 114,073.29 = 44,935.98 : x
  2. Step 2: Convert to fraction form
    82,662/114,073.29 = 44,935.98/x
  3. Step 3: Cross multiply
    82,662x = 114,073.29 × 44,935.98
  4. Step 4: Simplify right side
    82,662x = 5,125,995,077.97
  5. Step 5: Solve for x
    x = 5,125,995,077.97/82,662
  6. Step 6: Final answer
    x = 62,011.51

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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.