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Finding the Fourth Proportional to 37,478.61, 56,198.81 and 12,509.69

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Solution

The fourth proportional to 37,478.61, 56,198.81 and 12,509.69 is: 18,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,478.61 : 56,198.81 = 12,509.69 : x
  2. Step 2: Convert to fraction form
    37,478.61/56,198.81 = 12,509.69/x
  3. Step 3: Cross multiply
    37,478.61x = 56,198.81 × 12,509.69
  4. Step 4: Simplify right side
    37,478.61x = 703,029,441.75
  5. Step 5: Solve for x
    x = 703,029,441.75/37,478.61
  6. Step 6: Final answer
    x = 18,758.15

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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.