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Finding the Fourth Proportional to 82,586.25, 113,969.16 and 44,860.50

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Solution

The fourth proportional to 82,586.25, 113,969.16 and 44,860.50 is: 61,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,586.25 : 113,969.16 = 44,860.50 : x
  2. Step 2: Convert to fraction form
    82,586.25/113,969.16 = 44,860.50/x
  3. Step 3: Cross multiply
    82,586.25x = 113,969.16 × 44,860.50
  4. Step 4: Simplify right side
    82,586.25x = 5,112,713,502.18
  5. Step 5: Solve for x
    x = 5,112,713,502.18/82,586.25
  6. Step 6: Final answer
    x = 61,907.56

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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.