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Finding the Fourth Proportional to 34,002.93, 51,021.15 and 15,296.20

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Solution

The fourth proportional to 34,002.93, 51,021.15 and 15,296.20 is: 22,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,002.93 : 51,021.15 = 15,296.20 : x
  2. Step 2: Convert to fraction form
    34,002.93/51,021.15 = 15,296.20/x
  3. Step 3: Cross multiply
    34,002.93x = 51,021.15 × 15,296.20
  4. Step 4: Simplify right side
    34,002.93x = 780,429,714.63
  5. Step 5: Solve for x
    x = 780,429,714.63/34,002.93
  6. Step 6: Final answer
    x = 22,951.84

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