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Finding the Fourth Proportional to 73,167.09, 109,748.19 and 31,020.06

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Solution

The fourth proportional to 73,167.09, 109,748.19 and 31,020.06 is: 46,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,167.09 : 109,748.19 = 31,020.06 : x
  2. Step 2: Convert to fraction form
    73,167.09/109,748.19 = 31,020.06/x
  3. Step 3: Cross multiply
    73,167.09x = 109,748.19 × 31,020.06
  4. Step 4: Simplify right side
    73,167.09x = 3,404,395,438.69
  5. Step 5: Solve for x
    x = 3,404,395,438.69/73,167.09
  6. Step 6: Final answer
    x = 46,529.05

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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.