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Finding the Fourth Proportional to 76,696.95, 114,829.14 and 40,591.62

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Solution

The fourth proportional to 76,696.95, 114,829.14 and 40,591.62 is: 60,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,696.95 : 114,829.14 = 40,591.62 : x
  2. Step 2: Convert to fraction form
    76,696.95/114,829.14 = 40,591.62/x
  3. Step 3: Cross multiply
    76,696.95x = 114,829.14 × 40,591.62
  4. Step 4: Simplify right side
    76,696.95x = 4,661,100,815.81
  5. Step 5: Solve for x
    x = 4,661,100,815.81/76,696.95
  6. Step 6: Final answer
    x = 60,772.96

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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.