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Finding the Fourth Proportional to 97,238.82, 145,858.22 and 23,366.82

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Solution

The fourth proportional to 97,238.82, 145,858.22 and 23,366.82 is: 35,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,238.82 : 145,858.22 = 23,366.82 : x
  2. Step 2: Convert to fraction form
    97,238.82/145,858.22 = 23,366.82/x
  3. Step 3: Cross multiply
    97,238.82x = 145,858.22 × 23,366.82
  4. Step 4: Simplify right side
    97,238.82x = 3,408,242,655.43
  5. Step 5: Solve for x
    x = 3,408,242,655.43/97,238.82
  6. Step 6: Final answer
    x = 35,050.23

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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.