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Finding the Fourth Proportional to 82,597.30, 113,984.41 and 44,871.58

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Solution

The fourth proportional to 82,597.30, 113,984.41 and 44,871.58 is: 61,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,597.30 : 113,984.41 = 44,871.58 : x
  2. Step 2: Convert to fraction form
    82,597.30/113,984.41 = 44,871.58/x
  3. Step 3: Cross multiply
    82,597.30x = 113,984.41 × 44,871.58
  4. Step 4: Simplify right side
    82,597.30x = 5,114,660,572.07
  5. Step 5: Solve for x
    x = 5,114,660,572.07/82,597.30
  6. Step 6: Final answer
    x = 61,922.85

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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.