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Finding the Fourth Proportional to 46,837.72, 64,638.42 and 27,728.46

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Solution

The fourth proportional to 46,837.72, 64,638.42 and 27,728.46 is: 38,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,837.72 : 64,638.42 = 27,728.46 : x
  2. Step 2: Convert to fraction form
    46,837.72/64,638.42 = 27,728.46/x
  3. Step 3: Cross multiply
    46,837.72x = 64,638.42 × 27,728.46
  4. Step 4: Simplify right side
    46,837.72x = 1,792,323,843.43
  5. Step 5: Solve for x
    x = 1,792,323,843.43/46,837.72
  6. Step 6: Final answer
    x = 38,266.68

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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.