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Finding the Fourth Proportional to 81,886.97, 113,006.21 and 46,078.23

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Solution

The fourth proportional to 81,886.97, 113,006.21 and 46,078.23 is: 63,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,886.97 : 113,006.21 = 46,078.23 : x
  2. Step 2: Convert to fraction form
    81,886.97/113,006.21 = 46,078.23/x
  3. Step 3: Cross multiply
    81,886.97x = 113,006.21 × 46,078.23
  4. Step 4: Simplify right side
    81,886.97x = 5,207,126,135.81
  5. Step 5: Solve for x
    x = 5,207,126,135.81/81,886.97
  6. Step 6: Final answer
    x = 63,589.19

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1.5x scale

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.