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Finding the Fourth Proportional to 34,532.94, 51,815.14 and 16,754.01

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Solution

The fourth proportional to 34,532.94, 51,815.14 and 16,754.01 is: 25,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,532.94 : 51,815.14 = 16,754.01 : x
  2. Step 2: Convert to fraction form
    34,532.94/51,815.14 = 16,754.01/x
  3. Step 3: Cross multiply
    34,532.94x = 51,815.14 × 16,754.01
  4. Step 4: Simplify right side
    34,532.94x = 868,111,137.52
  5. Step 5: Solve for x
    x = 868,111,137.52/34,532.94
  6. Step 6: Final answer
    x = 25,138.64

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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.