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Finding the Fourth Proportional to 30,012.94, 45,023.73 and 9,231.58

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Solution

The fourth proportional to 30,012.94, 45,023.73 and 9,231.58 is: 13,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012.94 : 45,023.73 = 9,231.58 : x
  2. Step 2: Convert to fraction form
    30,012.94/45,023.73 = 9,231.58/x
  3. Step 3: Cross multiply
    30,012.94x = 45,023.73 × 9,231.58
  4. Step 4: Simplify right side
    30,012.94x = 415,640,165.39
  5. Step 5: Solve for x
    x = 415,640,165.39/30,012.94
  6. Step 6: Final answer
    x = 13,848.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.