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Finding the Fourth Proportional to 92,137.64, 138,235.68 and 32,972

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Solution

The fourth proportional to 92,137.64, 138,235.68 and 32,972 is: 49,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,137.64 : 138,235.68 = 32,972 : x
  2. Step 2: Convert to fraction form
    92,137.64/138,235.68 = 32,972/x
  3. Step 3: Cross multiply
    92,137.64x = 138,235.68 × 32,972
  4. Step 4: Simplify right side
    92,137.64x = 4,557,906,840.96
  5. Step 5: Solve for x
    x = 4,557,906,840.96/92,137.64
  6. Step 6: Final answer
    x = 49,468.46

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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.