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Finding the Fourth Proportional to 97,115.39, 145,708.07 and 33,944.81

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Solution

The fourth proportional to 97,115.39, 145,708.07 and 33,944.81 is: 50,929.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,115.39 : 145,708.07 = 33,944.81 : x
  2. Step 2: Convert to fraction form
    97,115.39/145,708.07 = 33,944.81/x
  3. Step 3: Cross multiply
    97,115.39x = 145,708.07 × 33,944.81
  4. Step 4: Simplify right side
    97,115.39x = 4,946,031,853.35
  5. Step 5: Solve for x
    x = 4,946,031,853.35/97,115.39
  6. Step 6: Final answer
    x = 50,929.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.