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Finding the Fourth Proportional to 30,025, 41,434.50 and 16,777

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Solution

The fourth proportional to 30,025, 41,434.50 and 16,777 is: 23,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,025 : 41,434.50 = 16,777 : x
  2. Step 2: Convert to fraction form
    30,025/41,434.50 = 16,777/x
  3. Step 3: Cross multiply
    30,025x = 41,434.50 × 16,777
  4. Step 4: Simplify right side
    30,025x = 695,146,606.50
  5. Step 5: Solve for x
    x = 695,146,606.50/30,025
  6. Step 6: Final answer
    x = 23,152.26

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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.