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Finding the Fourth Proportional to 92,139.64, 138,238.68 and 32,974

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Solution

The fourth proportional to 92,139.64, 138,238.68 and 32,974 is: 49,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,139.64 : 138,238.68 = 32,974 : x
  2. Step 2: Convert to fraction form
    92,139.64/138,238.68 = 32,974/x
  3. Step 3: Cross multiply
    92,139.64x = 138,238.68 × 32,974
  4. Step 4: Simplify right side
    92,139.64x = 4,558,282,234.32
  5. Step 5: Solve for x
    x = 4,558,282,234.32/92,139.64
  6. Step 6: Final answer
    x = 49,471.46

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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.