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Finding the Fourth Proportional to 97,909.44, 146,905.47 and 41,761.86

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Solution

The fourth proportional to 97,909.44, 146,905.47 and 41,761.86 is: 62,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,909.44 : 146,905.47 = 41,761.86 : x
  2. Step 2: Convert to fraction form
    97,909.44/146,905.47 = 41,761.86/x
  3. Step 3: Cross multiply
    97,909.44x = 146,905.47 × 41,761.86
  4. Step 4: Simplify right side
    97,909.44x = 6,135,045,671.37
  5. Step 5: Solve for x
    x = 6,135,045,671.37/97,909.44
  6. Step 6: Final answer
    x = 62,660.41

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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.