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Finding the Fourth Proportional to 84,106.77, 126,167.44 and 30,813.22

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Solution

The fourth proportional to 84,106.77, 126,167.44 and 30,813.22 is: 46,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,106.77 : 126,167.44 = 30,813.22 : x
  2. Step 2: Convert to fraction form
    84,106.77/126,167.44 = 30,813.22/x
  3. Step 3: Cross multiply
    84,106.77x = 126,167.44 × 30,813.22
  4. Step 4: Simplify right side
    84,106.77x = 3,887,625,085.56
  5. Step 5: Solve for x
    x = 3,887,625,085.56/84,106.77
  6. Step 6: Final answer
    x = 46,222.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.