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Finding the Fourth Proportional to 30,035.06, 41,450.94 and 17,459

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Solution

The fourth proportional to 30,035.06, 41,450.94 and 17,459 is: 24,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,035.06 : 41,450.94 = 17,459 : x
  2. Step 2: Convert to fraction form
    30,035.06/41,450.94 = 17,459/x
  3. Step 3: Cross multiply
    30,035.06x = 41,450.94 × 17,459
  4. Step 4: Simplify right side
    30,035.06x = 723,691,961.46
  5. Step 5: Solve for x
    x = 723,691,961.46/30,035.06
  6. Step 6: Final answer
    x = 24,094.91

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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.