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Finding the Fourth Proportional to 37,874.00, 56,811.83 and 11,578.77

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Solution

The fourth proportional to 37,874.00, 56,811.83 and 11,578.77 is: 17,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,874.00 : 56,811.83 = 11,578.77 : x
  2. Step 2: Convert to fraction form
    37,874.00/56,811.83 = 11,578.77/x
  3. Step 3: Cross multiply
    37,874.00x = 56,811.83 × 11,578.77
  4. Step 4: Simplify right side
    37,874.00x = 657,811,054.96
  5. Step 5: Solve for x
    x = 657,811,054.96/37,874.00
  6. Step 6: Final answer
    x = 17,368.41

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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.