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Finding the Fourth Proportional to 82,509.68, 113,863.42 and 44,783.92

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Solution

The fourth proportional to 82,509.68, 113,863.42 and 44,783.92 is: 61,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,509.68 : 113,863.42 = 44,783.92 : x
  2. Step 2: Convert to fraction form
    82,509.68/113,863.42 = 44,783.92/x
  3. Step 3: Cross multiply
    82,509.68x = 113,863.42 × 44,783.92
  4. Step 4: Simplify right side
    82,509.68x = 5,099,250,292.21
  5. Step 5: Solve for x
    x = 5,099,250,292.21/82,509.68
  6. Step 6: Final answer
    x = 61,801.84

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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.