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Finding the Fourth Proportional to 33,130.06, 49,667 and 14,396

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Solution

The fourth proportional to 33,130.06, 49,667 and 14,396 is: 21,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,130.06 : 49,667 = 14,396 : x
  2. Step 2: Convert to fraction form
    33,130.06/49,667 = 14,396/x
  3. Step 3: Cross multiply
    33,130.06x = 49,667 × 14,396
  4. Step 4: Simplify right side
    33,130.06x = 715,006,132
  5. Step 5: Solve for x
    x = 715,006,132/33,130.06
  6. Step 6: Final answer
    x = 21,581.79

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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.