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Finding the Fourth Proportional to 41,657, 57,486.66 and 22,794.13

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Solution

The fourth proportional to 41,657, 57,486.66 and 22,794.13 is: 31,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,657 : 57,486.66 = 22,794.13 : x
  2. Step 2: Convert to fraction form
    41,657/57,486.66 = 22,794.13/x
  3. Step 3: Cross multiply
    41,657x = 57,486.66 × 22,794.13
  4. Step 4: Simplify right side
    41,657x = 1,310,358,113.87
  5. Step 5: Solve for x
    x = 1,310,358,113.87/41,657
  6. Step 6: Final answer
    x = 31,455.89

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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.