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Finding the Fourth Proportional to 71,189.76, 106,822.71 and 46,223.94

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Solution

The fourth proportional to 71,189.76, 106,822.71 and 46,223.94 is: 69,360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,189.76 : 106,822.71 = 46,223.94 : x
  2. Step 2: Convert to fraction form
    71,189.76/106,822.71 = 46,223.94/x
  3. Step 3: Cross multiply
    71,189.76x = 106,822.71 × 46,223.94
  4. Step 4: Simplify right side
    71,189.76x = 4,937,766,537.68
  5. Step 5: Solve for x
    x = 4,937,766,537.68/71,189.76
  6. Step 6: Final answer
    x = 69,360.63

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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.