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Finding the Fourth Proportional to 71,174.81, 106,762.22 and 29,074.77

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Solution

The fourth proportional to 71,174.81, 106,762.22 and 29,074.77 is: 43,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,174.81 : 106,762.22 = 29,074.77 : x
  2. Step 2: Convert to fraction form
    71,174.81/106,762.22 = 29,074.77/x
  3. Step 3: Cross multiply
    71,174.81x = 106,762.22 × 29,074.77
  4. Step 4: Simplify right side
    71,174.81x = 3,104,086,845.82
  5. Step 5: Solve for x
    x = 3,104,086,845.82/71,174.81
  6. Step 6: Final answer
    x = 43,612.16

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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.