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Finding the Fourth Proportional to 76,126.83, 114,124.63 and 36,629.61

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Solution

The fourth proportional to 76,126.83, 114,124.63 and 36,629.61 is: 54,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,126.83 : 114,124.63 = 36,629.61 : x
  2. Step 2: Convert to fraction form
    76,126.83/114,124.63 = 36,629.61/x
  3. Step 3: Cross multiply
    76,126.83x = 114,124.63 × 36,629.61
  4. Step 4: Simplify right side
    76,126.83x = 4,180,340,688.29
  5. Step 5: Solve for x
    x = 4,180,340,688.29/76,126.83
  6. Step 6: Final answer
    x = 54,912.84

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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.