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Finding the Fourth Proportional to 73,736.16, 110,604.16 and 18,332.16

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Solution

The fourth proportional to 73,736.16, 110,604.16 and 18,332.16 is: 27,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,736.16 : 110,604.16 = 18,332.16 : x
  2. Step 2: Convert to fraction form
    73,736.16/110,604.16 = 18,332.16/x
  3. Step 3: Cross multiply
    73,736.16x = 110,604.16 × 18,332.16
  4. Step 4: Simplify right side
    73,736.16x = 2,027,613,157.79
  5. Step 5: Solve for x
    x = 2,027,613,157.79/73,736.16
  6. Step 6: Final answer
    x = 27,498.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.