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Finding the Fourth Proportional to 73,167.86, 109,749.30 and 31,020.81

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Solution

The fourth proportional to 73,167.86, 109,749.30 and 31,020.81 is: 46,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,167.86 : 109,749.30 = 31,020.81 : x
  2. Step 2: Convert to fraction form
    73,167.86/109,749.30 = 31,020.81/x
  3. Step 3: Cross multiply
    73,167.86x = 109,749.30 × 31,020.81
  4. Step 4: Simplify right side
    73,167.86x = 3,404,512,182.93
  5. Step 5: Solve for x
    x = 3,404,512,182.93/73,167.86
  6. Step 6: Final answer
    x = 46,530.16

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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.