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Finding the Fourth Proportional to 82,148.48, 113,364.91 and 44,422.73

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Solution

The fourth proportional to 82,148.48, 113,364.91 and 44,422.73 is: 61,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,148.48 : 113,364.91 = 44,422.73 : x
  2. Step 2: Convert to fraction form
    82,148.48/113,364.91 = 44,422.73/x
  3. Step 3: Cross multiply
    82,148.48x = 113,364.91 × 44,422.73
  4. Step 4: Simplify right side
    82,148.48x = 5,035,979,464.84
  5. Step 5: Solve for x
    x = 5,035,979,464.84/82,148.48
  6. Step 6: Final answer
    x = 61,303.38

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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.