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Finding the Fourth Proportional to 34,590.78, 51,859.50 and 15,857.30

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Solution

The fourth proportional to 34,590.78, 51,859.50 and 15,857.30 is: 23,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,590.78 : 51,859.50 = 15,857.30 : x
  2. Step 2: Convert to fraction form
    34,590.78/51,859.50 = 15,857.30/x
  3. Step 3: Cross multiply
    34,590.78x = 51,859.50 × 15,857.30
  4. Step 4: Simplify right side
    34,590.78x = 822,351,649.35
  5. Step 5: Solve for x
    x = 822,351,649.35/34,590.78
  6. Step 6: Final answer
    x = 23,773.72

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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.