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Finding the Fourth Proportional to 30,997.64, 46,499.49 and 11,271.57

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Solution

The fourth proportional to 30,997.64, 46,499.49 and 11,271.57 is: 16,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.64 : 46,499.49 = 11,271.57 : x
  2. Step 2: Convert to fraction form
    30,997.64/46,499.49 = 11,271.57/x
  3. Step 3: Cross multiply
    30,997.64x = 46,499.49 × 11,271.57
  4. Step 4: Simplify right side
    30,997.64x = 524,122,256.50
  5. Step 5: Solve for x
    x = 524,122,256.50/30,997.64
  6. Step 6: Final answer
    x = 16,908.46

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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.