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Finding the Fourth Proportional to 76,620.42, 114,944.76 and 34,501.50

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Solution

The fourth proportional to 76,620.42, 114,944.76 and 34,501.50 is: 51,758.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,620.42 : 114,944.76 = 34,501.50 : x
  2. Step 2: Convert to fraction form
    76,620.42/114,944.76 = 34,501.50/x
  3. Step 3: Cross multiply
    76,620.42x = 114,944.76 × 34,501.50
  4. Step 4: Simplify right side
    76,620.42x = 3,965,766,637.14
  5. Step 5: Solve for x
    x = 3,965,766,637.14/76,620.42
  6. Step 6: Final answer
    x = 51,758.61

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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.