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Finding the Fourth Proportional to 102,572.55, 153,843.44 and 32,442.75

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Solution

The fourth proportional to 102,572.55, 153,843.44 and 32,442.75 is: 48,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,572.55 : 153,843.44 = 32,442.75 : x
  2. Step 2: Convert to fraction form
    102,572.55/153,843.44 = 32,442.75/x
  3. Step 3: Cross multiply
    102,572.55x = 153,843.44 × 32,442.75
  4. Step 4: Simplify right side
    102,572.55x = 4,991,104,100.85
  5. Step 5: Solve for x
    x = 4,991,104,100.85/102,572.55
  6. Step 6: Final answer
    x = 48,659.26

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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.