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Finding the Fourth Proportional to 97,463.64, 146,149.38 and 44,857.56

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Solution

The fourth proportional to 97,463.64, 146,149.38 and 44,857.56 is: 67,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,463.64 : 146,149.38 = 44,857.56 : x
  2. Step 2: Convert to fraction form
    97,463.64/146,149.38 = 44,857.56/x
  3. Step 3: Cross multiply
    97,463.64x = 146,149.38 × 44,857.56
  4. Step 4: Simplify right side
    97,463.64x = 6,555,904,582.31
  5. Step 5: Solve for x
    x = 6,555,904,582.31/97,463.64
  6. Step 6: Final answer
    x = 67,265.13

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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.