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Finding the Fourth Proportional to 32,951.32, 49,434.81 and 10,764.66

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Solution

The fourth proportional to 32,951.32, 49,434.81 and 10,764.66 is: 16,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.32 : 49,434.81 = 10,764.66 : x
  2. Step 2: Convert to fraction form
    32,951.32/49,434.81 = 10,764.66/x
  3. Step 3: Cross multiply
    32,951.32x = 49,434.81 × 10,764.66
  4. Step 4: Simplify right side
    32,951.32x = 532,149,066.83
  5. Step 5: Solve for x
    x = 532,149,066.83/32,951.32
  6. Step 6: Final answer
    x = 16,149.55

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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.