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Finding the Fourth Proportional to 30,704.40, 46,056.60 and 9,927.90

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Solution

The fourth proportional to 30,704.40, 46,056.60 and 9,927.90 is: 14,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.40 : 46,056.60 = 9,927.90 : x
  2. Step 2: Convert to fraction form
    30,704.40/46,056.60 = 9,927.90/x
  3. Step 3: Cross multiply
    30,704.40x = 46,056.60 × 9,927.90
  4. Step 4: Simplify right side
    30,704.40x = 457,245,319.14
  5. Step 5: Solve for x
    x = 457,245,319.14/30,704.40
  6. Step 6: Final answer
    x = 14,891.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.