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Finding the Fourth Proportional to 73,171.74, 109,746.11 and 23,245.28

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Solution

The fourth proportional to 73,171.74, 109,746.11 and 23,245.28 is: 34,864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,171.74 : 109,746.11 = 23,245.28 : x
  2. Step 2: Convert to fraction form
    73,171.74/109,746.11 = 23,245.28/x
  3. Step 3: Cross multiply
    73,171.74x = 109,746.11 × 23,245.28
  4. Step 4: Simplify right side
    73,171.74x = 2,551,078,565.24
  5. Step 5: Solve for x
    x = 2,551,078,565.24/73,171.74
  6. Step 6: Final answer
    x = 34,864.26

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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.