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Finding the Fourth Proportional to 38,546.76, 53,195.40 and 22,642.68

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Solution

The fourth proportional to 38,546.76, 53,195.40 and 22,642.68 is: 31,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,546.76 : 53,195.40 = 22,642.68 : x
  2. Step 2: Convert to fraction form
    38,546.76/53,195.40 = 22,642.68/x
  3. Step 3: Cross multiply
    38,546.76x = 53,195.40 × 22,642.68
  4. Step 4: Simplify right side
    38,546.76x = 1,204,486,419.67
  5. Step 5: Solve for x
    x = 1,204,486,419.67/38,546.76
  6. Step 6: Final answer
    x = 31,247.41

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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.