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Finding the Fourth Proportional to 36,592.88, 54,962.80 and 21,830.64

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Solution

The fourth proportional to 36,592.88, 54,962.80 and 21,830.64 is: 32,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,592.88 : 54,962.80 = 21,830.64 : x
  2. Step 2: Convert to fraction form
    36,592.88/54,962.80 = 21,830.64/x
  3. Step 3: Cross multiply
    36,592.88x = 54,962.80 × 21,830.64
  4. Step 4: Simplify right side
    36,592.88x = 1,199,873,100.19
  5. Step 5: Solve for x
    x = 1,199,873,100.19/36,592.88
  6. Step 6: Final answer
    x = 32,789.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.