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Finding the Fourth Proportional to 30,755.88, 42,438.60 and 17,324.46

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Solution

The fourth proportional to 30,755.88, 42,438.60 and 17,324.46 is: 23,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,755.88 : 42,438.60 = 17,324.46 : x
  2. Step 2: Convert to fraction form
    30,755.88/42,438.60 = 17,324.46/x
  3. Step 3: Cross multiply
    30,755.88x = 42,438.60 × 17,324.46
  4. Step 4: Simplify right side
    30,755.88x = 735,225,828.16
  5. Step 5: Solve for x
    x = 735,225,828.16/30,755.88
  6. Step 6: Final answer
    x = 23,905.21

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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.