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Finding the Fourth Proportional to 97,733.56, 146,602.90 and 33,691.02

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Solution

The fourth proportional to 97,733.56, 146,602.90 and 33,691.02 is: 50,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,733.56 : 146,602.90 = 33,691.02 : x
  2. Step 2: Convert to fraction form
    97,733.56/146,602.90 = 33,691.02/x
  3. Step 3: Cross multiply
    97,733.56x = 146,602.90 × 33,691.02
  4. Step 4: Simplify right side
    97,733.56x = 4,939,201,067.50
  5. Step 5: Solve for x
    x = 4,939,201,067.50/97,733.56
  6. Step 6: Final answer
    x = 50,537.41

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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.