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Finding the Fourth Proportional to 84,576.87, 116,715.10 and 45,813.97

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Solution

The fourth proportional to 84,576.87, 116,715.10 and 45,813.97 is: 63,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,576.87 : 116,715.10 = 45,813.97 : x
  2. Step 2: Convert to fraction form
    84,576.87/116,715.10 = 45,813.97/x
  3. Step 3: Cross multiply
    84,576.87x = 116,715.10 × 45,813.97
  4. Step 4: Simplify right side
    84,576.87x = 5,347,181,421.83
  5. Step 5: Solve for x
    x = 5,347,181,421.83/84,576.87
  6. Step 6: Final answer
    x = 63,222.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.