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Finding the Fourth Proportional to 33,534.34, 50,309.30 and 9,840.94

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Solution

The fourth proportional to 33,534.34, 50,309.30 and 9,840.94 is: 14,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,534.34 : 50,309.30 = 9,840.94 : x
  2. Step 2: Convert to fraction form
    33,534.34/50,309.30 = 9,840.94/x
  3. Step 3: Cross multiply
    33,534.34x = 50,309.30 × 9,840.94
  4. Step 4: Simplify right side
    33,534.34x = 495,090,701.57
  5. Step 5: Solve for x
    x = 495,090,701.57/33,534.34
  6. Step 6: Final answer
    x = 14,763.69

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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.