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Finding the Fourth Proportional to 74,219.29, 111,301.29 and 29,831.09

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Solution

The fourth proportional to 74,219.29, 111,301.29 and 29,831.09 is: 44,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,219.29 : 111,301.29 = 29,831.09 : x
  2. Step 2: Convert to fraction form
    74,219.29/111,301.29 = 29,831.09/x
  3. Step 3: Cross multiply
    74,219.29x = 111,301.29 × 29,831.09
  4. Step 4: Simplify right side
    74,219.29x = 3,320,238,242.60
  5. Step 5: Solve for x
    x = 3,320,238,242.60/74,219.29
  6. Step 6: Final answer
    x = 44,735.52

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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.