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Finding the Fourth Proportional to 33,027.34, 49,542.64 and 13,303.23

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Solution

The fourth proportional to 33,027.34, 49,542.64 and 13,303.23 is: 19,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,027.34 : 49,542.64 = 13,303.23 : x
  2. Step 2: Convert to fraction form
    33,027.34/49,542.64 = 13,303.23/x
  3. Step 3: Cross multiply
    33,027.34x = 49,542.64 × 13,303.23
  4. Step 4: Simplify right side
    33,027.34x = 659,077,068.21
  5. Step 5: Solve for x
    x = 659,077,068.21/33,027.34
  6. Step 6: Final answer
    x = 19,955.50

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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.