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Finding the Fourth Proportional to 76,077.72, 114,143.56 and 33,953.96

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Solution

The fourth proportional to 76,077.72, 114,143.56 and 33,953.96 is: 50,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,077.72 : 114,143.56 = 33,953.96 : x
  2. Step 2: Convert to fraction form
    76,077.72/114,143.56 = 33,953.96/x
  3. Step 3: Cross multiply
    76,077.72x = 114,143.56 × 33,953.96
  4. Step 4: Simplify right side
    76,077.72x = 3,875,625,870.50
  5. Step 5: Solve for x
    x = 3,875,625,870.50/76,077.72
  6. Step 6: Final answer
    x = 50,942.98

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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.