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Finding the Fourth Proportional to 82,724.74, 114,160.41 and 44,998.98

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Solution

The fourth proportional to 82,724.74, 114,160.41 and 44,998.98 is: 62,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,724.74 : 114,160.41 = 44,998.98 : x
  2. Step 2: Convert to fraction form
    82,724.74/114,160.41 = 44,998.98/x
  3. Step 3: Cross multiply
    82,724.74x = 114,160.41 × 44,998.98
  4. Step 4: Simplify right side
    82,724.74x = 5,137,102,006.38
  5. Step 5: Solve for x
    x = 5,137,102,006.38/82,724.74
  6. Step 6: Final answer
    x = 62,098.74

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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.