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Finding the Fourth Proportional to 30,508.46, 45,757.98 and 8,323.64

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Solution

The fourth proportional to 30,508.46, 45,757.98 and 8,323.64 is: 12,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,508.46 : 45,757.98 = 8,323.64 : x
  2. Step 2: Convert to fraction form
    30,508.46/45,757.98 = 8,323.64/x
  3. Step 3: Cross multiply
    30,508.46x = 45,757.98 × 8,323.64
  4. Step 4: Simplify right side
    30,508.46x = 380,872,723.86
  5. Step 5: Solve for x
    x = 380,872,723.86/30,508.46
  6. Step 6: Final answer
    x = 12,484.17

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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.