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Finding the Fourth Proportional to 38,632.72, 53,311.80 and 21,865.36

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Solution

The fourth proportional to 38,632.72, 53,311.80 and 21,865.36 is: 30,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,632.72 : 53,311.80 = 21,865.36 : x
  2. Step 2: Convert to fraction form
    38,632.72/53,311.80 = 21,865.36/x
  3. Step 3: Cross multiply
    38,632.72x = 53,311.80 × 21,865.36
  4. Step 4: Simplify right side
    38,632.72x = 1,165,681,699.25
  5. Step 5: Solve for x
    x = 1,165,681,699.25/38,632.72
  6. Step 6: Final answer
    x = 30,173.43

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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.