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Finding the Fourth Proportional to 30,993.52, 46,504.07 and 17,666.03

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Solution

The fourth proportional to 30,993.52, 46,504.07 and 17,666.03 is: 26,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.52 : 46,504.07 = 17,666.03 : x
  2. Step 2: Convert to fraction form
    30,993.52/46,504.07 = 17,666.03/x
  3. Step 3: Cross multiply
    30,993.52x = 46,504.07 × 17,666.03
  4. Step 4: Simplify right side
    30,993.52x = 821,542,295.74
  5. Step 5: Solve for x
    x = 821,542,295.74/30,993.52
  6. Step 6: Final answer
    x = 26,506.91

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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.