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Finding the Fourth Proportional to 82,317.22, 113,600.10 and 46,508.74

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Solution

The fourth proportional to 82,317.22, 113,600.10 and 46,508.74 is: 64,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,317.22 : 113,600.10 = 46,508.74 : x
  2. Step 2: Convert to fraction form
    82,317.22/113,600.10 = 46,508.74/x
  3. Step 3: Cross multiply
    82,317.22x = 113,600.10 × 46,508.74
  4. Step 4: Simplify right side
    82,317.22x = 5,283,397,514.87
  5. Step 5: Solve for x
    x = 5,283,397,514.87/82,317.22
  6. Step 6: Final answer
    x = 64,183.38

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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.