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Finding the Fourth Proportional to 57,644.88, 86,441.40 and 55,830.48

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Solution

The fourth proportional to 57,644.88, 86,441.40 and 55,830.48 is: 83,720.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,644.88 : 86,441.40 = 55,830.48 : x
  2. Step 2: Convert to fraction form
    57,644.88/86,441.40 = 55,830.48/x
  3. Step 3: Cross multiply
    57,644.88x = 86,441.40 × 55,830.48
  4. Step 4: Simplify right side
    57,644.88x = 4,826,064,853.87
  5. Step 5: Solve for x
    x = 4,826,064,853.87/57,644.88
  6. Step 6: Final answer
    x = 83,720.62

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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.