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Finding the Fourth Proportional to 29,906.16, 44,865.84 and 9,131.28

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Solution

The fourth proportional to 29,906.16, 44,865.84 and 9,131.28 is: 13,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,906.16 : 44,865.84 = 9,131.28 : x
  2. Step 2: Convert to fraction form
    29,906.16/44,865.84 = 9,131.28/x
  3. Step 3: Cross multiply
    29,906.16x = 44,865.84 × 9,131.28
  4. Step 4: Simplify right side
    29,906.16x = 409,682,547.48
  5. Step 5: Solve for x
    x = 409,682,547.48/29,906.16
  6. Step 6: Final answer
    x = 13,698.94

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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.