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Finding the Fourth Proportional to 37,074.36, 55,614 and 10,780.92

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Solution

The fourth proportional to 37,074.36, 55,614 and 10,780.92 is: 16,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,074.36 : 55,614 = 10,780.92 : x
  2. Step 2: Convert to fraction form
    37,074.36/55,614 = 10,780.92/x
  3. Step 3: Cross multiply
    37,074.36x = 55,614 × 10,780.92
  4. Step 4: Simplify right side
    37,074.36x = 599,570,084.88
  5. Step 5: Solve for x
    x = 599,570,084.88/37,074.36
  6. Step 6: Final answer
    x = 16,172.10

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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.