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Finding the Fourth Proportional to 30,228.24, 45,342.30 and 8,041.62

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Solution

The fourth proportional to 30,228.24, 45,342.30 and 8,041.62 is: 12,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228.24 : 45,342.30 = 8,041.62 : x
  2. Step 2: Convert to fraction form
    30,228.24/45,342.30 = 8,041.62/x
  3. Step 3: Cross multiply
    30,228.24x = 45,342.30 × 8,041.62
  4. Step 4: Simplify right side
    30,228.24x = 364,625,339.92
  5. Step 5: Solve for x
    x = 364,625,339.92/30,228.24
  6. Step 6: Final answer
    x = 12,062.41

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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.