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Finding the Fourth Proportional to 38,484.78, 53,110.26 and 22,350.84

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Solution

The fourth proportional to 38,484.78, 53,110.26 and 22,350.84 is: 30,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484.78 : 53,110.26 = 22,350.84 : x
  2. Step 2: Convert to fraction form
    38,484.78/53,110.26 = 22,350.84/x
  3. Step 3: Cross multiply
    38,484.78x = 53,110.26 × 22,350.84
  4. Step 4: Simplify right side
    38,484.78x = 1,187,058,923.62
  5. Step 5: Solve for x
    x = 1,187,058,923.62/38,484.78
  6. Step 6: Final answer
    x = 30,844.89

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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.