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Finding the Fourth Proportional to 57,858.42, 86,711.79 and 32,909.94

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Solution

The fourth proportional to 57,858.42, 86,711.79 and 32,909.94 is: 49,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,858.42 : 86,711.79 = 32,909.94 : x
  2. Step 2: Convert to fraction form
    57,858.42/86,711.79 = 32,909.94/x
  3. Step 3: Cross multiply
    57,858.42x = 86,711.79 × 32,909.94
  4. Step 4: Simplify right side
    57,858.42x = 2,853,679,806.19
  5. Step 5: Solve for x
    x = 2,853,679,806.19/57,858.42
  6. Step 6: Final answer
    x = 49,321.77

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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.