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Finding the Fourth Proportional to 33,106.97, 49,632.48 and 14,372.88

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Solution

The fourth proportional to 33,106.97, 49,632.48 and 14,372.88 is: 21,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106.97 : 49,632.48 = 14,372.88 : x
  2. Step 2: Convert to fraction form
    33,106.97/49,632.48 = 14,372.88/x
  3. Step 3: Cross multiply
    33,106.97x = 49,632.48 × 14,372.88
  4. Step 4: Simplify right side
    33,106.97x = 713,361,679.14
  5. Step 5: Solve for x
    x = 713,361,679.14/33,106.97
  6. Step 6: Final answer
    x = 21,547.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.