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Finding the Fourth Proportional to 33,851.74, 46,720.56 and 21,107

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Solution

The fourth proportional to 33,851.74, 46,720.56 and 21,107 is: 29,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,851.74 : 46,720.56 = 21,107 : x
  2. Step 2: Convert to fraction form
    33,851.74/46,720.56 = 21,107/x
  3. Step 3: Cross multiply
    33,851.74x = 46,720.56 × 21,107
  4. Step 4: Simplify right side
    33,851.74x = 986,130,859.92
  5. Step 5: Solve for x
    x = 986,130,859.92/33,851.74
  6. Step 6: Final answer
    x = 29,130.88

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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.