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Finding the Fourth Proportional to 35,703, 49,249.62 and 22,267.80

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Solution

The fourth proportional to 35,703, 49,249.62 and 22,267.80 is: 30,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,703 : 49,249.62 = 22,267.80 : x
  2. Step 2: Convert to fraction form
    35,703/49,249.62 = 22,267.80/x
  3. Step 3: Cross multiply
    35,703x = 49,249.62 × 22,267.80
  4. Step 4: Simplify right side
    35,703x = 1,096,680,688.24
  5. Step 5: Solve for x
    x = 1,096,680,688.24/35,703
  6. Step 6: Final answer
    x = 30,716.77

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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.