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Finding the Fourth Proportional to 32,956.76, 49,434.72 and 7,997

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Solution

The fourth proportional to 32,956.76, 49,434.72 and 7,997 is: 11,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,956.76 : 49,434.72 = 7,997 : x
  2. Step 2: Convert to fraction form
    32,956.76/49,434.72 = 7,997/x
  3. Step 3: Cross multiply
    32,956.76x = 49,434.72 × 7,997
  4. Step 4: Simplify right side
    32,956.76x = 395,329,455.84
  5. Step 5: Solve for x
    x = 395,329,455.84/32,956.76
  6. Step 6: Final answer
    x = 11,995.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.