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Finding the Fourth Proportional to 30,971.39, 42,662.36 and 24,986.30

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Solution

The fourth proportional to 30,971.39, 42,662.36 and 24,986.30 is: 34,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.39 : 42,662.36 = 24,986.30 : x
  2. Step 2: Convert to fraction form
    30,971.39/42,662.36 = 24,986.30/x
  3. Step 3: Cross multiply
    30,971.39x = 42,662.36 × 24,986.30
  4. Step 4: Simplify right side
    30,971.39x = 1,065,974,374.82
  5. Step 5: Solve for x
    x = 1,065,974,374.82/30,971.39
  6. Step 6: Final answer
    x = 34,418.04

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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.