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Finding the Fourth Proportional to 30,704.40, 46,056.58 and 13,817.67

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Solution

The fourth proportional to 30,704.40, 46,056.58 and 13,817.67 is: 20,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.40 : 46,056.58 = 13,817.67 : x
  2. Step 2: Convert to fraction form
    30,704.40/46,056.58 = 13,817.67/x
  3. Step 3: Cross multiply
    30,704.40x = 46,056.58 × 13,817.67
  4. Step 4: Simplify right side
    30,704.40x = 636,394,753.30
  5. Step 5: Solve for x
    x = 636,394,753.30/30,704.40
  6. Step 6: Final answer
    x = 20,726.50

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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.