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Finding the Fourth Proportional to 84,560.70, 126,762.60 and 31,223.22

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Solution

The fourth proportional to 84,560.70, 126,762.60 and 31,223.22 is: 46,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,560.70 : 126,762.60 = 31,223.22 : x
  2. Step 2: Convert to fraction form
    84,560.70/126,762.60 = 31,223.22/x
  3. Step 3: Cross multiply
    84,560.70x = 126,762.60 × 31,223.22
  4. Step 4: Simplify right side
    84,560.70x = 3,957,936,547.57
  5. Step 5: Solve for x
    x = 3,957,936,547.57/84,560.70
  6. Step 6: Final answer
    x = 46,805.86

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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.