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Finding the Fourth Proportional to 102,572.20, 153,843.90 and 32,458.60

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Solution

The fourth proportional to 102,572.20, 153,843.90 and 32,458.60 is: 48,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,572.20 : 153,843.90 = 32,458.60 : x
  2. Step 2: Convert to fraction form
    102,572.20/153,843.90 = 32,458.60/x
  3. Step 3: Cross multiply
    102,572.20x = 153,843.90 × 32,458.60
  4. Step 4: Simplify right side
    102,572.20x = 4,993,557,612.54
  5. Step 5: Solve for x
    x = 4,993,557,612.54/102,572.20
  6. Step 6: Final answer
    x = 48,683.34

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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.