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Finding the Fourth Proportional to 82,135.08, 113,346.25 and 46,324.98

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Solution

The fourth proportional to 82,135.08, 113,346.25 and 46,324.98 is: 63,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,135.08 : 113,346.25 = 46,324.98 : x
  2. Step 2: Convert to fraction form
    82,135.08/113,346.25 = 46,324.98/x
  3. Step 3: Cross multiply
    82,135.08x = 113,346.25 × 46,324.98
  4. Step 4: Simplify right side
    82,135.08x = 5,250,762,648.51
  5. Step 5: Solve for x
    x = 5,250,762,648.51/82,135.08
  6. Step 6: Final answer
    x = 63,928.38

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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.