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Finding the Fourth Proportional to 40,813.70, 56,322.34 and 22,908.38

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Solution

The fourth proportional to 40,813.70, 56,322.34 and 22,908.38 is: 31,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,813.70 : 56,322.34 = 22,908.38 : x
  2. Step 2: Convert to fraction form
    40,813.70/56,322.34 = 22,908.38/x
  3. Step 3: Cross multiply
    40,813.70x = 56,322.34 × 22,908.38
  4. Step 4: Simplify right side
    40,813.70x = 1,290,253,228.33
  5. Step 5: Solve for x
    x = 1,290,253,228.33/40,813.70
  6. Step 6: Final answer
    x = 31,613.24

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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.