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Finding the Fourth Proportional to 33,534.17, 50,309.03 and 9,840.76

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Solution

The fourth proportional to 33,534.17, 50,309.03 and 9,840.76 is: 14,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,534.17 : 50,309.03 = 9,840.76 : x
  2. Step 2: Convert to fraction form
    33,534.17/50,309.03 = 9,840.76/x
  3. Step 3: Cross multiply
    33,534.17x = 50,309.03 × 9,840.76
  4. Step 4: Simplify right side
    33,534.17x = 495,079,090.06
  5. Step 5: Solve for x
    x = 495,079,090.06/33,534.17
  6. Step 6: Final answer
    x = 14,763.42

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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.