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Finding the Fourth Proportional to 38,575.62, 53,233.77 and 21,580.26

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Solution

The fourth proportional to 38,575.62, 53,233.77 and 21,580.26 is: 29,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,575.62 : 53,233.77 = 21,580.26 : x
  2. Step 2: Convert to fraction form
    38,575.62/53,233.77 = 21,580.26/x
  3. Step 3: Cross multiply
    38,575.62x = 53,233.77 × 21,580.26
  4. Step 4: Simplify right side
    38,575.62x = 1,148,798,597.38
  5. Step 5: Solve for x
    x = 1,148,798,597.38/38,575.62
  6. Step 6: Final answer
    x = 29,780.43

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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.