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Finding the Fourth Proportional to 82,328.46, 113,611.80 and 46,517.70

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Solution

The fourth proportional to 82,328.46, 113,611.80 and 46,517.70 is: 64,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,328.46 : 113,611.80 = 46,517.70 : x
  2. Step 2: Convert to fraction form
    82,328.46/113,611.80 = 46,517.70/x
  3. Step 3: Cross multiply
    82,328.46x = 113,611.80 × 46,517.70
  4. Step 4: Simplify right side
    82,328.46x = 5,284,960,113.05
  5. Step 5: Solve for x
    x = 5,284,960,113.05/82,328.46
  6. Step 6: Final answer
    x = 64,193.60

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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.