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Finding the Fourth Proportional to 82,509.87, 113,860.58 and 44,783.31

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Solution

The fourth proportional to 82,509.87, 113,860.58 and 44,783.31 is: 61,799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,509.87 : 113,860.58 = 44,783.31 : x
  2. Step 2: Convert to fraction form
    82,509.87/113,860.58 = 44,783.31/x
  3. Step 3: Cross multiply
    82,509.87x = 113,860.58 × 44,783.31
  4. Step 4: Simplify right side
    82,509.87x = 5,099,053,427.00
  5. Step 5: Solve for x
    x = 5,099,053,427.00/82,509.87
  6. Step 6: Final answer
    x = 61,799.31

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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.