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Finding the Fourth Proportional to 30,133.76, 41,580.21 and 16,705

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Solution

The fourth proportional to 30,133.76, 41,580.21 and 16,705 is: 23,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,133.76 : 41,580.21 = 16,705 : x
  2. Step 2: Convert to fraction form
    30,133.76/41,580.21 = 16,705/x
  3. Step 3: Cross multiply
    30,133.76x = 41,580.21 × 16,705
  4. Step 4: Simplify right side
    30,133.76x = 694,597,408.05
  5. Step 5: Solve for x
    x = 694,597,408.05/30,133.76
  6. Step 6: Final answer
    x = 23,050.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.