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Finding the Fourth Proportional to 82,828.66, 114,265.07 and 48,813.98

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Solution

The fourth proportional to 82,828.66, 114,265.07 and 48,813.98 is: 67,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,828.66 : 114,265.07 = 48,813.98 : x
  2. Step 2: Convert to fraction form
    82,828.66/114,265.07 = 48,813.98/x
  3. Step 3: Cross multiply
    82,828.66x = 114,265.07 × 48,813.98
  4. Step 4: Simplify right side
    82,828.66x = 5,577,732,841.68
  5. Step 5: Solve for x
    x = 5,577,732,841.68/82,828.66
  6. Step 6: Final answer
    x = 67,340.61

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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.