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Finding the Fourth Proportional to 33,530.92, 50,304.16 and 9,837.50

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Solution

The fourth proportional to 33,530.92, 50,304.16 and 9,837.50 is: 14,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,530.92 : 50,304.16 = 9,837.50 : x
  2. Step 2: Convert to fraction form
    33,530.92/50,304.16 = 9,837.50/x
  3. Step 3: Cross multiply
    33,530.92x = 50,304.16 × 9,837.50
  4. Step 4: Simplify right side
    33,530.92x = 494,867,124.81
  5. Step 5: Solve for x
    x = 494,867,124.81/33,530.92
  6. Step 6: Final answer
    x = 14,758.53

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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.