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Finding the Fourth Proportional to 46,843.61, 64,626.03 and 29,844.82

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Solution

The fourth proportional to 46,843.61, 64,626.03 and 29,844.82 is: 41,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,843.61 : 64,626.03 = 29,844.82 : x
  2. Step 2: Convert to fraction form
    46,843.61/64,626.03 = 29,844.82/x
  3. Step 3: Cross multiply
    46,843.61x = 64,626.03 × 29,844.82
  4. Step 4: Simplify right side
    46,843.61x = 1,928,752,071.10
  5. Step 5: Solve for x
    x = 1,928,752,071.10/46,843.61
  6. Step 6: Final answer
    x = 41,174.28

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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.