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Finding the Fourth Proportional to 82,596.92, 113,984.01 and 44,871.17

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Solution

The fourth proportional to 82,596.92, 113,984.01 and 44,871.17 is: 61,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,596.92 : 113,984.01 = 44,871.17 : x
  2. Step 2: Convert to fraction form
    82,596.92/113,984.01 = 44,871.17/x
  3. Step 3: Cross multiply
    82,596.92x = 113,984.01 × 44,871.17
  4. Step 4: Simplify right side
    82,596.92x = 5,114,595,320.07
  5. Step 5: Solve for x
    x = 5,114,595,320.07/82,596.92
  6. Step 6: Final answer
    x = 61,922.35

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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.