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Finding the Fourth Proportional to 33,160.41, 49,735.71 and 12,095.52

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Solution

The fourth proportional to 33,160.41, 49,735.71 and 12,095.52 is: 18,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,160.41 : 49,735.71 = 12,095.52 : x
  2. Step 2: Convert to fraction form
    33,160.41/49,735.71 = 12,095.52/x
  3. Step 3: Cross multiply
    33,160.41x = 49,735.71 × 12,095.52
  4. Step 4: Simplify right side
    33,160.41x = 601,579,275.02
  5. Step 5: Solve for x
    x = 601,579,275.02/33,160.41
  6. Step 6: Final answer
    x = 18,141.49

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Why These Related Problems?

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