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Finding the Fourth Proportional to 33,042.66, 49,573.71 and 13,311.06

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Solution

The fourth proportional to 33,042.66, 49,573.71 and 13,311.06 is: 19,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042.66 : 49,573.71 = 13,311.06 : x
  2. Step 2: Convert to fraction form
    33,042.66/49,573.71 = 13,311.06/x
  3. Step 3: Cross multiply
    33,042.66x = 49,573.71 × 13,311.06
  4. Step 4: Simplify right side
    33,042.66x = 659,878,313.81
  5. Step 5: Solve for x
    x = 659,878,313.81/33,042.66
  6. Step 6: Final answer
    x = 19,970.50

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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.