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Finding the Fourth Proportional to 32,956.75, 49,434.71 and 7,997

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Solution

The fourth proportional to 32,956.75, 49,434.71 and 7,997 is: 11,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,956.75 : 49,434.71 = 7,997 : x
  2. Step 2: Convert to fraction form
    32,956.75/49,434.71 = 7,997/x
  3. Step 3: Cross multiply
    32,956.75x = 49,434.71 × 7,997
  4. Step 4: Simplify right side
    32,956.75x = 395,329,335.89
  5. Step 5: Solve for x
    x = 395,329,335.89/32,956.75
  6. Step 6: Final answer
    x = 11,995.40

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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.