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Finding the Fourth Proportional to 30,991.52, 46,501.07 and 17,664.03

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Solution

The fourth proportional to 30,991.52, 46,501.07 and 17,664.03 is: 26,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.52 : 46,501.07 = 17,664.03 : x
  2. Step 2: Convert to fraction form
    30,991.52/46,501.07 = 17,664.03/x
  3. Step 3: Cross multiply
    30,991.52x = 46,501.07 × 17,664.03
  4. Step 4: Simplify right side
    30,991.52x = 821,396,207.19
  5. Step 5: Solve for x
    x = 821,396,207.19/30,991.52
  6. Step 6: Final answer
    x = 26,503.91

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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.