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Finding the Fourth Proportional to 30,669.25, 46,004.03 and 9,322.16

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Solution

The fourth proportional to 30,669.25, 46,004.03 and 9,322.16 is: 13,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669.25 : 46,004.03 = 9,322.16 : x
  2. Step 2: Convert to fraction form
    30,669.25/46,004.03 = 9,322.16/x
  3. Step 3: Cross multiply
    30,669.25x = 46,004.03 × 9,322.16
  4. Step 4: Simplify right side
    30,669.25x = 428,856,928.30
  5. Step 5: Solve for x
    x = 428,856,928.30/30,669.25
  6. Step 6: Final answer
    x = 13,983.29

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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.