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Finding the Fourth Proportional to 57,811.61, 86,750.22 and 22,775.87

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Solution

The fourth proportional to 57,811.61, 86,750.22 and 22,775.87 is: 34,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,811.61 : 86,750.22 = 22,775.87 : x
  2. Step 2: Convert to fraction form
    57,811.61/86,750.22 = 22,775.87/x
  3. Step 3: Cross multiply
    57,811.61x = 86,750.22 × 22,775.87
  4. Step 4: Simplify right side
    57,811.61x = 1,975,811,733.19
  5. Step 5: Solve for x
    x = 1,975,811,733.19/57,811.61
  6. Step 6: Final answer
    x = 34,176.73

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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.