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Finding the Fourth Proportional to 29,971.00, 44,955.44 and 7,481.81

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Solution

The fourth proportional to 29,971.00, 44,955.44 and 7,481.81 is: 11,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.00 : 44,955.44 = 7,481.81 : x
  2. Step 2: Convert to fraction form
    29,971.00/44,955.44 = 7,481.81/x
  3. Step 3: Cross multiply
    29,971.00x = 44,955.44 × 7,481.81
  4. Step 4: Simplify right side
    29,971.00x = 336,347,798.36
  5. Step 5: Solve for x
    x = 336,347,798.36/29,971.00
  6. Step 6: Final answer
    x = 11,222.44

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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.