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Finding the Fourth Proportional to 41,570.38, 57,367.06 and 22,707.50

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Solution

The fourth proportional to 41,570.38, 57,367.06 and 22,707.50 is: 31,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,570.38 : 57,367.06 = 22,707.50 : x
  2. Step 2: Convert to fraction form
    41,570.38/57,367.06 = 22,707.50/x
  3. Step 3: Cross multiply
    41,570.38x = 57,367.06 × 22,707.50
  4. Step 4: Simplify right side
    41,570.38x = 1,302,662,514.95
  5. Step 5: Solve for x
    x = 1,302,662,514.95/41,570.38
  6. Step 6: Final answer
    x = 31,336.31

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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.