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Finding the Fourth Proportional to 57,852.42, 86,778.54 and 16,299.42

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Solution

The fourth proportional to 57,852.42, 86,778.54 and 16,299.42 is: 24,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,852.42 : 86,778.54 = 16,299.42 : x
  2. Step 2: Convert to fraction form
    57,852.42/86,778.54 = 16,299.42/x
  3. Step 3: Cross multiply
    57,852.42x = 86,778.54 × 16,299.42
  4. Step 4: Simplify right side
    57,852.42x = 1,414,439,870.45
  5. Step 5: Solve for x
    x = 1,414,439,870.45/57,852.42
  6. Step 6: Final answer
    x = 24,449.10

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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.