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Finding the Fourth Proportional to 29,463.36, 44,178.57 and 9,736.62

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Solution

The fourth proportional to 29,463.36, 44,178.57 and 9,736.62 is: 14,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,463.36 : 44,178.57 = 9,736.62 : x
  2. Step 2: Convert to fraction form
    29,463.36/44,178.57 = 9,736.62/x
  3. Step 3: Cross multiply
    29,463.36x = 44,178.57 × 9,736.62
  4. Step 4: Simplify right side
    29,463.36x = 430,149,948.23
  5. Step 5: Solve for x
    x = 430,149,948.23/29,463.36
  6. Step 6: Final answer
    x = 14,599.49

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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.