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Finding the Fourth Proportional to 82,191.26, 113,424.06 and 44,465.50

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Solution

The fourth proportional to 82,191.26, 113,424.06 and 44,465.50 is: 61,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,191.26 : 113,424.06 = 44,465.50 : x
  2. Step 2: Convert to fraction form
    82,191.26/113,424.06 = 44,465.50/x
  3. Step 3: Cross multiply
    82,191.26x = 113,424.06 × 44,465.50
  4. Step 4: Simplify right side
    82,191.26x = 5,043,457,539.93
  5. Step 5: Solve for x
    x = 5,043,457,539.93/82,191.26
  6. Step 6: Final answer
    x = 61,362.46

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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.