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Finding the Fourth Proportional to 34,376.78, 51,613.06 and 17,748.80

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Solution

The fourth proportional to 34,376.78, 51,613.06 and 17,748.80 is: 26,647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,376.78 : 51,613.06 = 17,748.80 : x
  2. Step 2: Convert to fraction form
    34,376.78/51,613.06 = 17,748.80/x
  3. Step 3: Cross multiply
    34,376.78x = 51,613.06 × 17,748.80
  4. Step 4: Simplify right side
    34,376.78x = 916,069,879.33
  5. Step 5: Solve for x
    x = 916,069,879.33/34,376.78
  6. Step 6: Final answer
    x = 26,647.93

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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.