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Finding the Fourth Proportional to 76,807.67, 115,211.50 and 24,222.47

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Solution

The fourth proportional to 76,807.67, 115,211.50 and 24,222.47 is: 36,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807.67 : 115,211.50 = 24,222.47 : x
  2. Step 2: Convert to fraction form
    76,807.67/115,211.50 = 24,222.47/x
  3. Step 3: Cross multiply
    76,807.67x = 115,211.50 × 24,222.47
  4. Step 4: Simplify right side
    76,807.67x = 2,790,706,465.79
  5. Step 5: Solve for x
    x = 2,790,706,465.79/76,807.67
  6. Step 6: Final answer
    x = 36,333.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.