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Finding the Fourth Proportional to 82,715.50, 114,147.93 and 44,990.02

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Solution

The fourth proportional to 82,715.50, 114,147.93 and 44,990.02 is: 62,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,715.50 : 114,147.93 = 44,990.02 : x
  2. Step 2: Convert to fraction form
    82,715.50/114,147.93 = 44,990.02/x
  3. Step 3: Cross multiply
    82,715.50x = 114,147.93 × 44,990.02
  4. Step 4: Simplify right side
    82,715.50x = 5,135,517,653.66
  5. Step 5: Solve for x
    x = 5,135,517,653.66/82,715.50
  6. Step 6: Final answer
    x = 62,086.52

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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.