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Finding the Fourth Proportional to 104,652.54, 156,978.91 and 38,093.22

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Solution

The fourth proportional to 104,652.54, 156,978.91 and 38,093.22 is: 57,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,652.54 : 156,978.91 = 38,093.22 : x
  2. Step 2: Convert to fraction form
    104,652.54/156,978.91 = 38,093.22/x
  3. Step 3: Cross multiply
    104,652.54x = 156,978.91 × 38,093.22
  4. Step 4: Simplify right side
    104,652.54x = 5,979,832,201.61
  5. Step 5: Solve for x
    x = 5,979,832,201.61/104,652.54
  6. Step 6: Final answer
    x = 57,139.87

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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.