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Finding the Fourth Proportional to 82,458.12, 113,836.32 and 64,515

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Solution

The fourth proportional to 82,458.12, 113,836.32 and 64,515 is: 89,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,458.12 : 113,836.32 = 64,515 : x
  2. Step 2: Convert to fraction form
    82,458.12/113,836.32 = 64,515/x
  3. Step 3: Cross multiply
    82,458.12x = 113,836.32 × 64,515
  4. Step 4: Simplify right side
    82,458.12x = 7,344,150,184.80
  5. Step 5: Solve for x
    x = 7,344,150,184.80/82,458.12
  6. Step 6: Final answer
    x = 89,065.21

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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.