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Finding the Fourth Proportional to 57,385.94, 86,074.05 and 19,936.40

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Solution

The fourth proportional to 57,385.94, 86,074.05 and 19,936.40 is: 29,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,385.94 : 86,074.05 = 19,936.40 : x
  2. Step 2: Convert to fraction form
    57,385.94/86,074.05 = 19,936.40/x
  3. Step 3: Cross multiply
    57,385.94x = 86,074.05 × 19,936.40
  4. Step 4: Simplify right side
    57,385.94x = 1,716,006,690.42
  5. Step 5: Solve for x
    x = 1,716,006,690.42/57,385.94
  6. Step 6: Final answer
    x = 29,902.91

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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.