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Finding the Fourth Proportional to 30,225.96, 45,342.39 and 8,040.24

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Solution

The fourth proportional to 30,225.96, 45,342.39 and 8,040.24 is: 12,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225.96 : 45,342.39 = 8,040.24 : x
  2. Step 2: Convert to fraction form
    30,225.96/45,342.39 = 8,040.24/x
  3. Step 3: Cross multiply
    30,225.96x = 45,342.39 × 8,040.24
  4. Step 4: Simplify right side
    30,225.96x = 364,563,697.77
  5. Step 5: Solve for x
    x = 364,563,697.77/30,225.96
  6. Step 6: Final answer
    x = 12,061.28

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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.