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Finding the Fourth Proportional to 29,797.36, 44,696 and 7,610.76

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Solution

The fourth proportional to 29,797.36, 44,696 and 7,610.76 is: 11,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,797.36 : 44,696 = 7,610.76 : x
  2. Step 2: Convert to fraction form
    29,797.36/44,696 = 7,610.76/x
  3. Step 3: Cross multiply
    29,797.36x = 44,696 × 7,610.76
  4. Step 4: Simplify right side
    29,797.36x = 340,170,528.96
  5. Step 5: Solve for x
    x = 340,170,528.96/29,797.36
  6. Step 6: Final answer
    x = 11,416.13

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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.