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Finding the Fourth Proportional to 57,546.98, 86,283.57 and 39,727.72

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Solution

The fourth proportional to 57,546.98, 86,283.57 and 39,727.72 is: 59,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,546.98 : 86,283.57 = 39,727.72 : x
  2. Step 2: Convert to fraction form
    57,546.98/86,283.57 = 39,727.72/x
  3. Step 3: Cross multiply
    57,546.98x = 86,283.57 × 39,727.72
  4. Step 4: Simplify right side
    57,546.98x = 3,427,849,509.56
  5. Step 5: Solve for x
    x = 3,427,849,509.56/57,546.98
  6. Step 6: Final answer
    x = 59,566.11

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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.