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Finding the Fourth Proportional to 29,807.64, 44,711.32 and 7,620.96

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Solution

The fourth proportional to 29,807.64, 44,711.32 and 7,620.96 is: 11,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,807.64 : 44,711.32 = 7,620.96 : x
  2. Step 2: Convert to fraction form
    29,807.64/44,711.32 = 7,620.96/x
  3. Step 3: Cross multiply
    29,807.64x = 44,711.32 × 7,620.96
  4. Step 4: Simplify right side
    29,807.64x = 340,743,181.27
  5. Step 5: Solve for x
    x = 340,743,181.27/29,807.64
  6. Step 6: Final answer
    x = 11,431.40

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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.