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Finding the Fourth Proportional to 73,807.56, 110,712.24 and 21,217.50

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Solution

The fourth proportional to 73,807.56, 110,712.24 and 21,217.50 is: 31,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,807.56 : 110,712.24 = 21,217.50 : x
  2. Step 2: Convert to fraction form
    73,807.56/110,712.24 = 21,217.50/x
  3. Step 3: Cross multiply
    73,807.56x = 110,712.24 × 21,217.50
  4. Step 4: Simplify right side
    73,807.56x = 2,349,036,952.20
  5. Step 5: Solve for x
    x = 2,349,036,952.20/73,807.56
  6. Step 6: Final answer
    x = 31,826.51

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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.