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Finding the Fourth Proportional to 82,422.91, 113,746.31 and 53,761.33

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Solution

The fourth proportional to 82,422.91, 113,746.31 and 53,761.33 is: 74,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,422.91 : 113,746.31 = 53,761.33 : x
  2. Step 2: Convert to fraction form
    82,422.91/113,746.31 = 53,761.33/x
  3. Step 3: Cross multiply
    82,422.91x = 113,746.31 × 53,761.33
  4. Step 4: Simplify right side
    82,422.91x = 6,115,152,908.19
  5. Step 5: Solve for x
    x = 6,115,152,908.19/82,422.91
  6. Step 6: Final answer
    x = 74,192.39

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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.