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Finding the Fourth Proportional to 37,807, 56,706.44 and 11,511.97

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Solution

The fourth proportional to 37,807, 56,706.44 and 11,511.97 is: 17,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,807 : 56,706.44 = 11,511.97 : x
  2. Step 2: Convert to fraction form
    37,807/56,706.44 = 11,511.97/x
  3. Step 3: Cross multiply
    37,807x = 56,706.44 × 11,511.97
  4. Step 4: Simplify right side
    37,807x = 652,802,836.09
  5. Step 5: Solve for x
    x = 652,802,836.09/37,807
  6. Step 6: Final answer
    x = 17,266.72

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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.