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Finding the Fourth Proportional to 37,807.21, 56,719.02 and 11,511.26

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Solution

The fourth proportional to 37,807.21, 56,719.02 and 11,511.26 is: 17,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,807.21 : 56,719.02 = 11,511.26 : x
  2. Step 2: Convert to fraction form
    37,807.21/56,719.02 = 11,511.26/x
  3. Step 3: Cross multiply
    37,807.21x = 56,719.02 × 11,511.26
  4. Step 4: Simplify right side
    37,807.21x = 652,907,612.73
  5. Step 5: Solve for x
    x = 652,907,612.73/37,807.21
  6. Step 6: Final answer
    x = 17,269.40

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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.