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Finding the Fourth Proportional to 34,071, 51,106.96 and 10,697.44

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Solution

The fourth proportional to 34,071, 51,106.96 and 10,697.44 is: 16,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,071 : 51,106.96 = 10,697.44 : x
  2. Step 2: Convert to fraction form
    34,071/51,106.96 = 10,697.44/x
  3. Step 3: Cross multiply
    34,071x = 51,106.96 × 10,697.44
  4. Step 4: Simplify right side
    34,071x = 546,713,638.18
  5. Step 5: Solve for x
    x = 546,713,638.18/34,071
  6. Step 6: Final answer
    x = 16,046.30

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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.