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Finding the Fourth Proportional to 34,053.66, 51,010.83 and 16,509.06

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Solution

The fourth proportional to 34,053.66, 51,010.83 and 16,509.06 is: 24,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,053.66 : 51,010.83 = 16,509.06 : x
  2. Step 2: Convert to fraction form
    34,053.66/51,010.83 = 16,509.06/x
  3. Step 3: Cross multiply
    34,053.66x = 51,010.83 × 16,509.06
  4. Step 4: Simplify right side
    34,053.66x = 842,140,853.12
  5. Step 5: Solve for x
    x = 842,140,853.12/34,053.66
  6. Step 6: Final answer
    x = 24,729.82

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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.