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Finding the Fourth Proportional to 33,159.76, 49,724.04 and 13,423.30

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Solution

The fourth proportional to 33,159.76, 49,724.04 and 13,423.30 is: 20,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,159.76 : 49,724.04 = 13,423.30 : x
  2. Step 2: Convert to fraction form
    33,159.76/49,724.04 = 13,423.30/x
  3. Step 3: Cross multiply
    33,159.76x = 49,724.04 × 13,423.30
  4. Step 4: Simplify right side
    33,159.76x = 667,460,706.13
  5. Step 5: Solve for x
    x = 667,460,706.13/33,159.76
  6. Step 6: Final answer
    x = 20,128.64

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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.