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Finding the Fourth Proportional to 92,138.64, 138,237.18 and 32,973

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Solution

The fourth proportional to 92,138.64, 138,237.18 and 32,973 is: 49,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,138.64 : 138,237.18 = 32,973 : x
  2. Step 2: Convert to fraction form
    92,138.64/138,237.18 = 32,973/x
  3. Step 3: Cross multiply
    92,138.64x = 138,237.18 × 32,973
  4. Step 4: Simplify right side
    92,138.64x = 4,558,094,536.14
  5. Step 5: Solve for x
    x = 4,558,094,536.14/92,138.64
  6. Step 6: Final answer
    x = 49,469.96

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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.