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Finding the Fourth Proportional to 38,941.06, 53,738.61 and 22,174.06

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Solution

The fourth proportional to 38,941.06, 53,738.61 and 22,174.06 is: 30,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,941.06 : 53,738.61 = 22,174.06 : x
  2. Step 2: Convert to fraction form
    38,941.06/53,738.61 = 22,174.06/x
  3. Step 3: Cross multiply
    38,941.06x = 53,738.61 × 22,174.06
  4. Step 4: Simplify right side
    38,941.06x = 1,191,603,162.46
  5. Step 5: Solve for x
    x = 1,191,603,162.46/38,941.06
  6. Step 6: Final answer
    x = 30,600.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.