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Finding the Fourth Proportional to 30,885.75, 42,617.07 and 17,455.95

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Solution

The fourth proportional to 30,885.75, 42,617.07 and 17,455.95 is: 24,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.75 : 42,617.07 = 17,455.95 : x
  2. Step 2: Convert to fraction form
    30,885.75/42,617.07 = 17,455.95/x
  3. Step 3: Cross multiply
    30,885.75x = 42,617.07 × 17,455.95
  4. Step 4: Simplify right side
    30,885.75x = 743,921,443.07
  5. Step 5: Solve for x
    x = 743,921,443.07/30,885.75
  6. Step 6: Final answer
    x = 24,086.24

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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.