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Finding the Fourth Proportional to 34,209.78, 51,245.82 and 16,415.82

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Solution

The fourth proportional to 34,209.78, 51,245.82 and 16,415.82 is: 24,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,209.78 : 51,245.82 = 16,415.82 : x
  2. Step 2: Convert to fraction form
    34,209.78/51,245.82 = 16,415.82/x
  3. Step 3: Cross multiply
    34,209.78x = 51,245.82 × 16,415.82
  4. Step 4: Simplify right side
    34,209.78x = 841,242,156.87
  5. Step 5: Solve for x
    x = 841,242,156.87/34,209.78
  6. Step 6: Final answer
    x = 24,590.69

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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.