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Finding the Fourth Proportional to 96,135.86, 144,204.12 and 29,575.54

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Solution

The fourth proportional to 96,135.86, 144,204.12 and 29,575.54 is: 44,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,135.86 : 144,204.12 = 29,575.54 : x
  2. Step 2: Convert to fraction form
    96,135.86/144,204.12 = 29,575.54/x
  3. Step 3: Cross multiply
    96,135.86x = 144,204.12 × 29,575.54
  4. Step 4: Simplify right side
    96,135.86x = 4,264,914,719.22
  5. Step 5: Solve for x
    x = 4,264,914,719.22/96,135.86
  6. Step 6: Final answer
    x = 44,363.41

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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.