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Finding the Fourth Proportional to 71,811.96, 107,767.14 and 25,064.82

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Solution

The fourth proportional to 71,811.96, 107,767.14 and 25,064.82 is: 37,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,811.96 : 107,767.14 = 25,064.82 : x
  2. Step 2: Convert to fraction form
    71,811.96/107,767.14 = 25,064.82/x
  3. Step 3: Cross multiply
    71,811.96x = 107,767.14 × 25,064.82
  4. Step 4: Simplify right side
    71,811.96x = 2,701,163,966.01
  5. Step 5: Solve for x
    x = 2,701,163,966.01/71,811.96
  6. Step 6: Final answer
    x = 37,614.40

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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.