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Finding the Fourth Proportional to 30,876.35, 42,606.81 and 17,448.75

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Solution

The fourth proportional to 30,876.35, 42,606.81 and 17,448.75 is: 24,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.35 : 42,606.81 = 17,448.75 : x
  2. Step 2: Convert to fraction form
    30,876.35/42,606.81 = 17,448.75/x
  3. Step 3: Cross multiply
    30,876.35x = 42,606.81 × 17,448.75
  4. Step 4: Simplify right side
    30,876.35x = 743,435,575.99
  5. Step 5: Solve for x
    x = 743,435,575.99/30,876.35
  6. Step 6: Final answer
    x = 24,077.84

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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.