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Finding the Fourth Proportional to 82,523.64, 113,881.84 and 44,797.84

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Solution

The fourth proportional to 82,523.64, 113,881.84 and 44,797.84 is: 61,820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,523.64 : 113,881.84 = 44,797.84 : x
  2. Step 2: Convert to fraction form
    82,523.64/113,881.84 = 44,797.84/x
  3. Step 3: Cross multiply
    82,523.64x = 113,881.84 × 44,797.84
  4. Step 4: Simplify right side
    82,523.64x = 5,101,660,447.23
  5. Step 5: Solve for x
    x = 5,101,660,447.23/82,523.64
  6. Step 6: Final answer
    x = 61,820.59

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