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Finding the Fourth Proportional to 84,082.66, 116,033.29 and 46,356.91

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Solution

The fourth proportional to 84,082.66, 116,033.29 and 46,356.91 is: 63,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,082.66 : 116,033.29 = 46,356.91 : x
  2. Step 2: Convert to fraction form
    84,082.66/116,033.29 = 46,356.91/x
  3. Step 3: Cross multiply
    84,082.66x = 116,033.29 × 46,356.91
  4. Step 4: Simplify right side
    84,082.66x = 5,378,944,781.53
  5. Step 5: Solve for x
    x = 5,378,944,781.53/84,082.66
  6. Step 6: Final answer
    x = 63,972.11

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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.