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Finding the Fourth Proportional to 82,527.25, 113,888.99 and 44,801.50

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Solution

The fourth proportional to 82,527.25, 113,888.99 and 44,801.50 is: 61,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,527.25 : 113,888.99 = 44,801.50 : x
  2. Step 2: Convert to fraction form
    82,527.25/113,888.99 = 44,801.50/x
  3. Step 3: Cross multiply
    82,527.25x = 113,888.99 × 44,801.50
  4. Step 4: Simplify right side
    82,527.25x = 5,102,397,361.48
  5. Step 5: Solve for x
    x = 5,102,397,361.48/82,527.25
  6. Step 6: Final answer
    x = 61,826.82

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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.