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Finding the Fourth Proportional to 33,088.38, 45,662.16 and 17,981.16

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Solution

The fourth proportional to 33,088.38, 45,662.16 and 17,981.16 is: 24,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,088.38 : 45,662.16 = 17,981.16 : x
  2. Step 2: Convert to fraction form
    33,088.38/45,662.16 = 17,981.16/x
  3. Step 3: Cross multiply
    33,088.38x = 45,662.16 × 17,981.16
  4. Step 4: Simplify right side
    33,088.38x = 821,058,604.91
  5. Step 5: Solve for x
    x = 821,058,604.91/33,088.38
  6. Step 6: Final answer
    x = 24,814.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.