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Finding the Fourth Proportional to 82,437.46, 113,766.27 and 46,626.77

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Solution

The fourth proportional to 82,437.46, 113,766.27 and 46,626.77 is: 64,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,437.46 : 113,766.27 = 46,626.77 : x
  2. Step 2: Convert to fraction form
    82,437.46/113,766.27 = 46,626.77/x
  3. Step 3: Cross multiply
    82,437.46x = 113,766.27 × 46,626.77
  4. Step 4: Simplify right side
    82,437.46x = 5,304,553,705.05
  5. Step 5: Solve for x
    x = 5,304,553,705.05/82,437.46
  6. Step 6: Final answer
    x = 64,346.40

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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.