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Finding the Fourth Proportional to 29,798, 44,696.98 and 7,610.58

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Solution

The fourth proportional to 29,798, 44,696.98 and 7,610.58 is: 11,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,798 : 44,696.98 = 7,610.58 : x
  2. Step 2: Convert to fraction form
    29,798/44,696.98 = 7,610.58/x
  3. Step 3: Cross multiply
    29,798x = 44,696.98 × 7,610.58
  4. Step 4: Simplify right side
    29,798x = 340,169,942.05
  5. Step 5: Solve for x
    x = 340,169,942.05/29,798
  6. Step 6: Final answer
    x = 11,415.86

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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.