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Finding the Fourth Proportional to 30,997.17, 46,467.41 and 13,460.67

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Solution

The fourth proportional to 30,997.17, 46,467.41 and 13,460.67 is: 20,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.17 : 46,467.41 = 13,460.67 : x
  2. Step 2: Convert to fraction form
    30,997.17/46,467.41 = 13,460.67/x
  3. Step 3: Cross multiply
    30,997.17x = 46,467.41 × 13,460.67
  4. Step 4: Simplify right side
    30,997.17x = 625,482,404.46
  5. Step 5: Solve for x
    x = 625,482,404.46/30,997.17
  6. Step 6: Final answer
    x = 20,178.69

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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.