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Finding the Fourth Proportional to 30,678.44, 46,017.72 and 8,491.88

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Solution

The fourth proportional to 30,678.44, 46,017.72 and 8,491.88 is: 12,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.44 : 46,017.72 = 8,491.88 : x
  2. Step 2: Convert to fraction form
    30,678.44/46,017.72 = 8,491.88/x
  3. Step 3: Cross multiply
    30,678.44x = 46,017.72 × 8,491.88
  4. Step 4: Simplify right side
    30,678.44x = 390,776,704.80
  5. Step 5: Solve for x
    x = 390,776,704.80/30,678.44
  6. Step 6: Final answer
    x = 12,737.83

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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.