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Finding the Fourth Proportional to 73,173.96, 109,758.42 and 31,026.87

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Solution

The fourth proportional to 73,173.96, 109,758.42 and 31,026.87 is: 46,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,173.96 : 109,758.42 = 31,026.87 : x
  2. Step 2: Convert to fraction form
    73,173.96/109,758.42 = 31,026.87/x
  3. Step 3: Cross multiply
    73,173.96x = 109,758.42 × 31,026.87
  4. Step 4: Simplify right side
    73,173.96x = 3,405,460,228.75
  5. Step 5: Solve for x
    x = 3,405,460,228.75/73,173.96
  6. Step 6: Final answer
    x = 46,539.24

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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.