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Finding the Fourth Proportional to 36,901, 55,351.50 and 12,277

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Solution

The fourth proportional to 36,901, 55,351.50 and 12,277 is: 18,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,901 : 55,351.50 = 12,277 : x
  2. Step 2: Convert to fraction form
    36,901/55,351.50 = 12,277/x
  3. Step 3: Cross multiply
    36,901x = 55,351.50 × 12,277
  4. Step 4: Simplify right side
    36,901x = 679,550,365.50
  5. Step 5: Solve for x
    x = 679,550,365.50/36,901
  6. Step 6: Final answer
    x = 18,415.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.