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Finding the Fourth Proportional to 38,663.42, 53,353.00 and 22,744.80

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Solution

The fourth proportional to 38,663.42, 53,353.00 and 22,744.80 is: 31,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,663.42 : 53,353.00 = 22,744.80 : x
  2. Step 2: Convert to fraction form
    38,663.42/53,353.00 = 22,744.80/x
  3. Step 3: Cross multiply
    38,663.42x = 53,353.00 × 22,744.80
  4. Step 4: Simplify right side
    38,663.42x = 1,213,502,933.91
  5. Step 5: Solve for x
    x = 1,213,502,933.91/38,663.42
  6. Step 6: Final answer
    x = 31,386.33

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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.