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Finding the Fourth Proportional to 30,026.06, 41,438.52 and 17,450

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Solution

The fourth proportional to 30,026.06, 41,438.52 and 17,450 is: 24,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,026.06 : 41,438.52 = 17,450 : x
  2. Step 2: Convert to fraction form
    30,026.06/41,438.52 = 17,450/x
  3. Step 3: Cross multiply
    30,026.06x = 41,438.52 × 17,450
  4. Step 4: Simplify right side
    30,026.06x = 723,102,174
  5. Step 5: Solve for x
    x = 723,102,174/30,026.06
  6. Step 6: Final answer
    x = 24,082.49

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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.