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Finding the Fourth Proportional to 29,186.88, 43,787.28 and 9,465.48

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Solution

The fourth proportional to 29,186.88, 43,787.28 and 9,465.48 is: 14,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,186.88 : 43,787.28 = 9,465.48 : x
  2. Step 2: Convert to fraction form
    29,186.88/43,787.28 = 9,465.48/x
  3. Step 3: Cross multiply
    29,186.88x = 43,787.28 × 9,465.48
  4. Step 4: Simplify right side
    29,186.88x = 414,467,623.09
  5. Step 5: Solve for x
    x = 414,467,623.09/29,186.88
  6. Step 6: Final answer
    x = 14,200.48

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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.