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Finding the Fourth Proportional to 41,894.68, 57,813.18 and 23,031.68

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Solution

The fourth proportional to 41,894.68, 57,813.18 and 23,031.68 is: 31,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,894.68 : 57,813.18 = 23,031.68 : x
  2. Step 2: Convert to fraction form
    41,894.68/57,813.18 = 23,031.68/x
  3. Step 3: Cross multiply
    41,894.68x = 57,813.18 × 23,031.68
  4. Step 4: Simplify right side
    41,894.68x = 1,331,534,661.54
  5. Step 5: Solve for x
    x = 1,331,534,661.54/41,894.68
  6. Step 6: Final answer
    x = 31,782.91

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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.