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Finding the Fourth Proportional to 34,019.20, 51,029.70 and 10,646.20

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Solution

The fourth proportional to 34,019.20, 51,029.70 and 10,646.20 is: 15,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,019.20 : 51,029.70 = 10,646.20 : x
  2. Step 2: Convert to fraction form
    34,019.20/51,029.70 = 10,646.20/x
  3. Step 3: Cross multiply
    34,019.20x = 51,029.70 × 10,646.20
  4. Step 4: Simplify right side
    34,019.20x = 543,272,392.14
  5. Step 5: Solve for x
    x = 543,272,392.14/34,019.20
  6. Step 6: Final answer
    x = 15,969.58

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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.