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Finding the Fourth Proportional to 73,216.81, 109,842.08 and 31,098.23

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Solution

The fourth proportional to 73,216.81, 109,842.08 and 31,098.23 is: 46,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,216.81 : 109,842.08 = 31,098.23 : x
  2. Step 2: Convert to fraction form
    73,216.81/109,842.08 = 31,098.23/x
  3. Step 3: Cross multiply
    73,216.81x = 109,842.08 × 31,098.23
  4. Step 4: Simplify right side
    73,216.81x = 3,415,893,974.72
  5. Step 5: Solve for x
    x = 3,415,893,974.72/73,216.81
  6. Step 6: Final answer
    x = 46,654.50

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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.