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Finding the Fourth Proportional to 29,158.32, 43,722.36 and 9,434.28

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Solution

The fourth proportional to 29,158.32, 43,722.36 and 9,434.28 is: 14,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,158.32 : 43,722.36 = 9,434.28 : x
  2. Step 2: Convert to fraction form
    29,158.32/43,722.36 = 9,434.28/x
  3. Step 3: Cross multiply
    29,158.32x = 43,722.36 × 9,434.28
  4. Step 4: Simplify right side
    29,158.32x = 412,488,986.50
  5. Step 5: Solve for x
    x = 412,488,986.50/29,158.32
  6. Step 6: Final answer
    x = 14,146.53

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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.