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Finding the Fourth Proportional to 53,204.42, 79,830.15 and 27,897.89

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Solution

The fourth proportional to 53,204.42, 79,830.15 and 27,897.89 is: 41,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204.42 : 79,830.15 = 27,897.89 : x
  2. Step 2: Convert to fraction form
    53,204.42/79,830.15 = 27,897.89/x
  3. Step 3: Cross multiply
    53,204.42x = 79,830.15 × 27,897.89
  4. Step 4: Simplify right side
    53,204.42x = 2,227,092,942.96
  5. Step 5: Solve for x
    x = 2,227,092,942.96/53,204.42
  6. Step 6: Final answer
    x = 41,859.17

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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.