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Finding the Fourth Proportional to 71,535.93, 107,303.91 and 27,162.72

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Solution

The fourth proportional to 71,535.93, 107,303.91 and 27,162.72 is: 40,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,535.93 : 107,303.91 = 27,162.72 : x
  2. Step 2: Convert to fraction form
    71,535.93/107,303.91 = 27,162.72/x
  3. Step 3: Cross multiply
    71,535.93x = 107,303.91 × 27,162.72
  4. Step 4: Simplify right side
    71,535.93x = 2,914,666,062.24
  5. Step 5: Solve for x
    x = 2,914,666,062.24/71,535.93
  6. Step 6: Final answer
    x = 40,744.09

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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.