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Finding the Fourth Proportional to 50,513.41, 69,703.75 and 29,290.38

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Solution

The fourth proportional to 50,513.41, 69,703.75 and 29,290.38 is: 40,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,513.41 : 69,703.75 = 29,290.38 : x
  2. Step 2: Convert to fraction form
    50,513.41/69,703.75 = 29,290.38/x
  3. Step 3: Cross multiply
    50,513.41x = 69,703.75 × 29,290.38
  4. Step 4: Simplify right side
    50,513.41x = 2,041,649,324.93
  5. Step 5: Solve for x
    x = 2,041,649,324.93/50,513.41
  6. Step 6: Final answer
    x = 40,417.97

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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.