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Finding the Fourth Proportional to 33,160.74, 49,725.75 and 10,970.02

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Solution

The fourth proportional to 33,160.74, 49,725.75 and 10,970.02 is: 16,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,160.74 : 49,725.75 = 10,970.02 : x
  2. Step 2: Convert to fraction form
    33,160.74/49,725.75 = 10,970.02/x
  3. Step 3: Cross multiply
    33,160.74x = 49,725.75 × 10,970.02
  4. Step 4: Simplify right side
    33,160.74x = 545,492,472.02
  5. Step 5: Solve for x
    x = 545,492,472.02/33,160.74
  6. Step 6: Final answer
    x = 16,449.95

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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.