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Finding the Fourth Proportional to 30,694.94, 46,040.52 and 10,972.52

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Solution

The fourth proportional to 30,694.94, 46,040.52 and 10,972.52 is: 16,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.94 : 46,040.52 = 10,972.52 : x
  2. Step 2: Convert to fraction form
    30,694.94/46,040.52 = 10,972.52/x
  3. Step 3: Cross multiply
    30,694.94x = 46,040.52 × 10,972.52
  4. Step 4: Simplify right side
    30,694.94x = 505,180,526.51
  5. Step 5: Solve for x
    x = 505,180,526.51/30,694.94
  6. Step 6: Final answer
    x = 16,458.10

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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.