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Finding the Fourth Proportional to 51,785.46, 77,656.77 and 16,234.87

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Solution

The fourth proportional to 51,785.46, 77,656.77 and 16,234.87 is: 24,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,785.46 : 77,656.77 = 16,234.87 : x
  2. Step 2: Convert to fraction form
    51,785.46/77,656.77 = 16,234.87/x
  3. Step 3: Cross multiply
    51,785.46x = 77,656.77 × 16,234.87
  4. Step 4: Simplify right side
    51,785.46x = 1,260,747,565.57
  5. Step 5: Solve for x
    x = 1,260,747,565.57/51,785.46
  6. Step 6: Final answer
    x = 24,345.59

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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.