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Finding the Fourth Proportional to 35,723.52, 49,251.69 and 30,741.21

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Solution

The fourth proportional to 35,723.52, 49,251.69 and 30,741.21 is: 42,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,723.52 : 49,251.69 = 30,741.21 : x
  2. Step 2: Convert to fraction form
    35,723.52/49,251.69 = 30,741.21/x
  3. Step 3: Cross multiply
    35,723.52x = 49,251.69 × 30,741.21
  4. Step 4: Simplify right side
    35,723.52x = 1,514,056,545.14
  5. Step 5: Solve for x
    x = 1,514,056,545.14/35,723.52
  6. Step 6: Final answer
    x = 42,382.62

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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.