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Finding the Fourth Proportional to 97,884.92, 146,780.88 and 37,941.44

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Solution

The fourth proportional to 97,884.92, 146,780.88 and 37,941.44 is: 56,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,884.92 : 146,780.88 = 37,941.44 : x
  2. Step 2: Convert to fraction form
    97,884.92/146,780.88 = 37,941.44/x
  3. Step 3: Cross multiply
    97,884.92x = 146,780.88 × 37,941.44
  4. Step 4: Simplify right side
    97,884.92x = 5,569,077,951.67
  5. Step 5: Solve for x
    x = 5,569,077,951.67/97,884.92
  6. Step 6: Final answer
    x = 56,894.14

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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.