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Finding the Fourth Proportional to 30,997.58, 46,495.14 and 13,220.90

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Solution

The fourth proportional to 30,997.58, 46,495.14 and 13,220.90 is: 19,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.58 : 46,495.14 = 13,220.90 : x
  2. Step 2: Convert to fraction form
    30,997.58/46,495.14 = 13,220.90/x
  3. Step 3: Cross multiply
    30,997.58x = 46,495.14 × 13,220.90
  4. Step 4: Simplify right side
    30,997.58x = 614,707,596.43
  5. Step 5: Solve for x
    x = 614,707,596.43/30,997.58
  6. Step 6: Final answer
    x = 19,830.83

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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.