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Finding the Fourth Proportional to 73,857.56, 110,750.70 and 36,403.16

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Solution

The fourth proportional to 73,857.56, 110,750.70 and 36,403.16 is: 54,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,857.56 : 110,750.70 = 36,403.16 : x
  2. Step 2: Convert to fraction form
    73,857.56/110,750.70 = 36,403.16/x
  3. Step 3: Cross multiply
    73,857.56x = 110,750.70 × 36,403.16
  4. Step 4: Simplify right side
    73,857.56x = 4,031,675,452.21
  5. Step 5: Solve for x
    x = 4,031,675,452.21/73,857.56
  6. Step 6: Final answer
    x = 54,587.17

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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.