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Finding the Fourth Proportional to 41,662, 57,423.63 and 31,587.22

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Solution

The fourth proportional to 41,662, 57,423.63 and 31,587.22 is: 43,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,662 : 57,423.63 = 31,587.22 : x
  2. Step 2: Convert to fraction form
    41,662/57,423.63 = 31,587.22/x
  3. Step 3: Cross multiply
    41,662x = 57,423.63 × 31,587.22
  4. Step 4: Simplify right side
    41,662x = 1,813,852,834.01
  5. Step 5: Solve for x
    x = 1,813,852,834.01/41,662
  6. Step 6: Final answer
    x = 43,537.34

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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.