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Finding the Fourth Proportional to 73,998.72, 102,116.16 and 40,464

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Solution

The fourth proportional to 73,998.72, 102,116.16 and 40,464 is: 55,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,998.72 : 102,116.16 = 40,464 : x
  2. Step 2: Convert to fraction form
    73,998.72/102,116.16 = 40,464/x
  3. Step 3: Cross multiply
    73,998.72x = 102,116.16 × 40,464
  4. Step 4: Simplify right side
    73,998.72x = 4,132,028,298.24
  5. Step 5: Solve for x
    x = 4,132,028,298.24/73,998.72
  6. Step 6: Final answer
    x = 55,839.19

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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.