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Finding the Fourth Proportional to 82,227.22, 113,473.65 and 44,501.38

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Solution

The fourth proportional to 82,227.22, 113,473.65 and 44,501.38 is: 61,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,227.22 : 113,473.65 = 44,501.38 : x
  2. Step 2: Convert to fraction form
    82,227.22/113,473.65 = 44,501.38/x
  3. Step 3: Cross multiply
    82,227.22x = 113,473.65 × 44,501.38
  4. Step 4: Simplify right side
    82,227.22x = 5,049,734,018.64
  5. Step 5: Solve for x
    x = 5,049,734,018.64/82,227.22
  6. Step 6: Final answer
    x = 61,411.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.