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Finding the Fourth Proportional to 33,520.16, 50,203.70 and 16,002.30

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Solution

The fourth proportional to 33,520.16, 50,203.70 and 16,002.30 is: 23,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,520.16 : 50,203.70 = 16,002.30 : x
  2. Step 2: Convert to fraction form
    33,520.16/50,203.70 = 16,002.30/x
  3. Step 3: Cross multiply
    33,520.16x = 50,203.70 × 16,002.30
  4. Step 4: Simplify right side
    33,520.16x = 803,374,668.51
  5. Step 5: Solve for x
    x = 803,374,668.51/33,520.16
  6. Step 6: Final answer
    x = 23,966.91

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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.