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Finding the Fourth Proportional to 82,227.69, 113,474.16 and 44,501.94

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Solution

The fourth proportional to 82,227.69, 113,474.16 and 44,501.94 is: 61,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,227.69 : 113,474.16 = 44,501.94 : x
  2. Step 2: Convert to fraction form
    82,227.69/113,474.16 = 44,501.94/x
  3. Step 3: Cross multiply
    82,227.69x = 113,474.16 × 44,501.94
  4. Step 4: Simplify right side
    82,227.69x = 5,049,820,259.87
  5. Step 5: Solve for x
    x = 5,049,820,259.87/82,227.69
  6. Step 6: Final answer
    x = 61,412.65

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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.