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Finding the Fourth Proportional to 82,963.74, 114,490.71 and 45,238.14

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Solution

The fourth proportional to 82,963.74, 114,490.71 and 45,238.14 is: 62,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,963.74 : 114,490.71 = 45,238.14 : x
  2. Step 2: Convert to fraction form
    82,963.74/114,490.71 = 45,238.14/x
  3. Step 3: Cross multiply
    82,963.74x = 114,490.71 × 45,238.14
  4. Step 4: Simplify right side
    82,963.74x = 5,179,346,767.68
  5. Step 5: Solve for x
    x = 5,179,346,767.68/82,963.74
  6. Step 6: Final answer
    x = 62,429.04

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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.