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Finding the Fourth Proportional to 76,945.46, 115,462.02 and 61,461.50

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Solution

The fourth proportional to 76,945.46, 115,462.02 and 61,461.50 is: 92,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,945.46 : 115,462.02 = 61,461.50 : x
  2. Step 2: Convert to fraction form
    76,945.46/115,462.02 = 61,461.50/x
  3. Step 3: Cross multiply
    76,945.46x = 115,462.02 × 61,461.50
  4. Step 4: Simplify right side
    76,945.46x = 7,096,468,364.92
  5. Step 5: Solve for x
    x = 7,096,468,364.92/76,945.46
  6. Step 6: Final answer
    x = 92,227.26

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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.