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Finding the Fourth Proportional to 38,526.40, 53,164.09 and 22,392.49

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Solution

The fourth proportional to 38,526.40, 53,164.09 and 22,392.49 is: 30,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,526.40 : 53,164.09 = 22,392.49 : x
  2. Step 2: Convert to fraction form
    38,526.40/53,164.09 = 22,392.49/x
  3. Step 3: Cross multiply
    38,526.40x = 53,164.09 × 22,392.49
  4. Step 4: Simplify right side
    38,526.40x = 1,190,476,257.94
  5. Step 5: Solve for x
    x = 1,190,476,257.94/38,526.40
  6. Step 6: Final answer
    x = 30,900.27

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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.