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Finding the Fourth Proportional to 73,719.20, 101,732.49 and 40,185.20

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Solution

The fourth proportional to 73,719.20, 101,732.49 and 40,185.20 is: 55,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,719.20 : 101,732.49 = 40,185.20 : x
  2. Step 2: Convert to fraction form
    73,719.20/101,732.49 = 40,185.20/x
  3. Step 3: Cross multiply
    73,719.20x = 101,732.49 × 40,185.20
  4. Step 4: Simplify right side
    73,719.20x = 4,088,139,948.49
  5. Step 5: Solve for x
    x = 4,088,139,948.49/73,719.20
  6. Step 6: Final answer
    x = 55,455.57

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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.