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Finding the Fourth Proportional to 41,574.86, 57,370.66 and 22,712

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Solution

The fourth proportional to 41,574.86, 57,370.66 and 22,712 is: 31,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,574.86 : 57,370.66 = 22,712 : x
  2. Step 2: Convert to fraction form
    41,574.86/57,370.66 = 22,712/x
  3. Step 3: Cross multiply
    41,574.86x = 57,370.66 × 22,712
  4. Step 4: Simplify right side
    41,574.86x = 1,303,002,429.92
  5. Step 5: Solve for x
    x = 1,303,002,429.92/41,574.86
  6. Step 6: Final answer
    x = 31,341.11

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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.