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Finding the Fourth Proportional to 82,064, 113,220.04 and 49,808.78

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Solution

The fourth proportional to 82,064, 113,220.04 and 49,808.78 is: 68,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,064 : 113,220.04 = 49,808.78 : x
  2. Step 2: Convert to fraction form
    82,064/113,220.04 = 49,808.78/x
  3. Step 3: Cross multiply
    82,064x = 113,220.04 × 49,808.78
  4. Step 4: Simplify right side
    82,064x = 5,639,352,063.95
  5. Step 5: Solve for x
    x = 5,639,352,063.95/82,064
  6. Step 6: Final answer
    x = 68,718.95

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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.