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Finding the Fourth Proportional to 51,856.94, 77,719.80 and 33,129.74

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Solution

The fourth proportional to 51,856.94, 77,719.80 and 33,129.74 is: 49,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,856.94 : 77,719.80 = 33,129.74 : x
  2. Step 2: Convert to fraction form
    51,856.94/77,719.80 = 33,129.74/x
  3. Step 3: Cross multiply
    51,856.94x = 77,719.80 × 33,129.74
  4. Step 4: Simplify right side
    51,856.94x = 2,574,836,766.85
  5. Step 5: Solve for x
    x = 2,574,836,766.85/51,856.94
  6. Step 6: Final answer
    x = 49,652.69

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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.