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Finding the Fourth Proportional to 82,166, 113,389.12 and 44,440.24

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Solution

The fourth proportional to 82,166, 113,389.12 and 44,440.24 is: 61,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,166 : 113,389.12 = 44,440.24 : x
  2. Step 2: Convert to fraction form
    82,166/113,389.12 = 44,440.24/x
  3. Step 3: Cross multiply
    82,166x = 113,389.12 × 44,440.24
  4. Step 4: Simplify right side
    82,166x = 5,039,039,706.19
  5. Step 5: Solve for x
    x = 5,039,039,706.19/82,166
  6. Step 6: Final answer
    x = 61,327.55

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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.