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Finding the Fourth Proportional to 33,727.78, 46,501.07 and 27,655.65

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Solution

The fourth proportional to 33,727.78, 46,501.07 and 27,655.65 is: 38,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,727.78 : 46,501.07 = 27,655.65 : x
  2. Step 2: Convert to fraction form
    33,727.78/46,501.07 = 27,655.65/x
  3. Step 3: Cross multiply
    33,727.78x = 46,501.07 × 27,655.65
  4. Step 4: Simplify right side
    33,727.78x = 1,286,017,333.83
  5. Step 5: Solve for x
    x = 1,286,017,333.83/33,727.78
  6. Step 6: Final answer
    x = 38,129.32

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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.