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Finding the Fourth Proportional to 97,489.41, 146,234.12 and 35,159.91

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Solution

The fourth proportional to 97,489.41, 146,234.12 and 35,159.91 is: 52,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,489.41 : 146,234.12 = 35,159.91 : x
  2. Step 2: Convert to fraction form
    97,489.41/146,234.12 = 35,159.91/x
  3. Step 3: Cross multiply
    97,489.41x = 146,234.12 × 35,159.91
  4. Step 4: Simplify right side
    97,489.41x = 5,141,578,322.33
  5. Step 5: Solve for x
    x = 5,141,578,322.33/97,489.41
  6. Step 6: Final answer
    x = 52,739.87

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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.