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Finding the Fourth Proportional to 81,884.97, 112,999.95 and 46,074.96

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Solution

The fourth proportional to 81,884.97, 112,999.95 and 46,074.96 is: 63,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,884.97 : 112,999.95 = 46,074.96 : x
  2. Step 2: Convert to fraction form
    81,884.97/112,999.95 = 46,074.96/x
  3. Step 3: Cross multiply
    81,884.97x = 112,999.95 × 46,074.96
  4. Step 4: Simplify right side
    81,884.97x = 5,206,468,176.25
  5. Step 5: Solve for x
    x = 5,206,468,176.25/81,884.97
  6. Step 6: Final answer
    x = 63,582.71

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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.