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Finding the Fourth Proportional to 30,715.89, 46,018.21 and 14,089.83

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Solution

The fourth proportional to 30,715.89, 46,018.21 and 14,089.83 is: 21,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.89 : 46,018.21 = 14,089.83 : x
  2. Step 2: Convert to fraction form
    30,715.89/46,018.21 = 14,089.83/x
  3. Step 3: Cross multiply
    30,715.89x = 46,018.21 × 14,089.83
  4. Step 4: Simplify right side
    30,715.89x = 648,388,755.80
  5. Step 5: Solve for x
    x = 648,388,755.80/30,715.89
  6. Step 6: Final answer
    x = 21,109.23

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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.