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Finding the Fourth Proportional to 82,105.84, 113,307.32 and 48,106.19

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Solution

The fourth proportional to 82,105.84, 113,307.32 and 48,106.19 is: 66,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,105.84 : 113,307.32 = 48,106.19 : x
  2. Step 2: Convert to fraction form
    82,105.84/113,307.32 = 48,106.19/x
  3. Step 3: Cross multiply
    82,105.84x = 113,307.32 × 48,106.19
  4. Step 4: Simplify right side
    82,105.84x = 5,450,783,464.31
  5. Step 5: Solve for x
    x = 5,450,783,464.31/82,105.84
  6. Step 6: Final answer
    x = 66,387.28

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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.