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Finding the Fourth Proportional to 82,315.34, 113,595.16 and 44,589.58

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Solution

The fourth proportional to 82,315.34, 113,595.16 and 44,589.58 is: 61,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,315.34 : 113,595.16 = 44,589.58 : x
  2. Step 2: Convert to fraction form
    82,315.34/113,595.16 = 44,589.58/x
  3. Step 3: Cross multiply
    82,315.34x = 113,595.16 × 44,589.58
  4. Step 4: Simplify right side
    82,315.34x = 5,065,160,474.43
  5. Step 5: Solve for x
    x = 5,065,160,474.43/82,315.34
  6. Step 6: Final answer
    x = 61,533.62

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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.