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Finding the Fourth Proportional to 33,037.72, 49,564.16 and 14,320.88

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Solution

The fourth proportional to 33,037.72, 49,564.16 and 14,320.88 is: 21,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,037.72 : 49,564.16 = 14,320.88 : x
  2. Step 2: Convert to fraction form
    33,037.72/49,564.16 = 14,320.88/x
  3. Step 3: Cross multiply
    33,037.72x = 49,564.16 × 14,320.88
  4. Step 4: Simplify right side
    33,037.72x = 709,802,387.66
  5. Step 5: Solve for x
    x = 709,802,387.66/33,037.72
  6. Step 6: Final answer
    x = 21,484.61

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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.