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Finding the Fourth Proportional to 36,978.66, 55,485 and 13,621.50

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Solution

The fourth proportional to 36,978.66, 55,485 and 13,621.50 is: 20,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.66 : 55,485 = 13,621.50 : x
  2. Step 2: Convert to fraction form
    36,978.66/55,485 = 13,621.50/x
  3. Step 3: Cross multiply
    36,978.66x = 55,485 × 13,621.50
  4. Step 4: Simplify right side
    36,978.66x = 755,788,927.50
  5. Step 5: Solve for x
    x = 755,788,927.50/36,978.66
  6. Step 6: Final answer
    x = 20,438.52

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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.