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Finding the Fourth Proportional to 41,686, 57,526.86 and 22,823.44

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Solution

The fourth proportional to 41,686, 57,526.86 and 22,823.44 is: 31,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,686 : 57,526.86 = 22,823.44 : x
  2. Step 2: Convert to fraction form
    41,686/57,526.86 = 22,823.44/x
  3. Step 3: Cross multiply
    41,686x = 57,526.86 × 22,823.44
  4. Step 4: Simplify right side
    41,686x = 1,312,960,837.60
  5. Step 5: Solve for x
    x = 1,312,960,837.60/41,686
  6. Step 6: Final answer
    x = 31,496.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.