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Finding the Fourth Proportional to 30,730.44, 46,098.94 and 8,543.88

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Solution

The fourth proportional to 30,730.44, 46,098.94 and 8,543.88 is: 12,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,730.44 : 46,098.94 = 8,543.88 : x
  2. Step 2: Convert to fraction form
    30,730.44/46,098.94 = 8,543.88/x
  3. Step 3: Cross multiply
    30,730.44x = 46,098.94 × 8,543.88
  4. Step 4: Simplify right side
    30,730.44x = 393,863,811.49
  5. Step 5: Solve for x
    x = 393,863,811.49/30,730.44
  6. Step 6: Final answer
    x = 12,816.73

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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.