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Finding the Fourth Proportional to 37,804.50, 56,690.36 and 11,503.14

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Solution

The fourth proportional to 37,804.50, 56,690.36 and 11,503.14 is: 17,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,804.50 : 56,690.36 = 11,503.14 : x
  2. Step 2: Convert to fraction form
    37,804.50/56,690.36 = 11,503.14/x
  3. Step 3: Cross multiply
    37,804.50x = 56,690.36 × 11,503.14
  4. Step 4: Simplify right side
    37,804.50x = 652,117,147.73
  5. Step 5: Solve for x
    x = 652,117,147.73/37,804.50
  6. Step 6: Final answer
    x = 17,249.72

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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.