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Finding the Fourth Proportional to 97,914.89, 146,880.12 and 41,755.49

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Solution

The fourth proportional to 97,914.89, 146,880.12 and 41,755.49 is: 62,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,914.89 : 146,880.12 = 41,755.49 : x
  2. Step 2: Convert to fraction form
    97,914.89/146,880.12 = 41,755.49/x
  3. Step 3: Cross multiply
    97,914.89x = 146,880.12 × 41,755.49
  4. Step 4: Simplify right side
    97,914.89x = 6,133,050,647.46
  5. Step 5: Solve for x
    x = 6,133,050,647.46/97,914.89
  6. Step 6: Final answer
    x = 62,636.55

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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.