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Finding the Fourth Proportional to 76,680.67, 114,854.67 and 37,154.89

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Solution

The fourth proportional to 76,680.67, 114,854.67 and 37,154.89 is: 55,651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,680.67 : 114,854.67 = 37,154.89 : x
  2. Step 2: Convert to fraction form
    76,680.67/114,854.67 = 37,154.89/x
  3. Step 3: Cross multiply
    76,680.67x = 114,854.67 × 37,154.89
  4. Step 4: Simplify right side
    76,680.67x = 4,267,412,629.84
  5. Step 5: Solve for x
    x = 4,267,412,629.84/76,680.67
  6. Step 6: Final answer
    x = 55,651.74

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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.