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Finding the Fourth Proportional to 97,894.86, 146,795.94 and 37,951.44

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Solution

The fourth proportional to 97,894.86, 146,795.94 and 37,951.44 is: 56,909.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,894.86 : 146,795.94 = 37,951.44 : x
  2. Step 2: Convert to fraction form
    97,894.86/146,795.94 = 37,951.44/x
  3. Step 3: Cross multiply
    97,894.86x = 146,795.94 × 37,951.44
  4. Step 4: Simplify right side
    97,894.86x = 5,571,117,309.15
  5. Step 5: Solve for x
    x = 5,571,117,309.15/97,894.86
  6. Step 6: Final answer
    x = 56,909.19

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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.