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Finding the Fourth Proportional to 57,054.64, 85,602.24 and 25,461.83

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Solution

The fourth proportional to 57,054.64, 85,602.24 and 25,461.83 is: 38,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,054.64 : 85,602.24 = 25,461.83 : x
  2. Step 2: Convert to fraction form
    57,054.64/85,602.24 = 25,461.83/x
  3. Step 3: Cross multiply
    57,054.64x = 85,602.24 × 25,461.83
  4. Step 4: Simplify right side
    57,054.64x = 2,179,589,682.50
  5. Step 5: Solve for x
    x = 2,179,589,682.50/57,054.64
  6. Step 6: Final answer
    x = 38,201.80

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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.