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Finding the Fourth Proportional to 100,562.96, 150,869.38 and 30,442.48

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Solution

The fourth proportional to 100,562.96, 150,869.38 and 30,442.48 is: 45,671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,562.96 : 150,869.38 = 30,442.48 : x
  2. Step 2: Convert to fraction form
    100,562.96/150,869.38 = 30,442.48/x
  3. Step 3: Cross multiply
    100,562.96x = 150,869.38 × 30,442.48
  4. Step 4: Simplify right side
    100,562.96x = 4,592,838,083.26
  5. Step 5: Solve for x
    x = 4,592,838,083.26/100,562.96
  6. Step 6: Final answer
    x = 45,671.27

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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.