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Finding the Fourth Proportional to 30,286.32, 45,392.64 and 16,211.76

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Solution

The fourth proportional to 30,286.32, 45,392.64 and 16,211.76 is: 24,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.32 : 45,392.64 = 16,211.76 : x
  2. Step 2: Convert to fraction form
    30,286.32/45,392.64 = 16,211.76/x
  3. Step 3: Cross multiply
    30,286.32x = 45,392.64 × 16,211.76
  4. Step 4: Simplify right side
    30,286.32x = 735,894,585.45
  5. Step 5: Solve for x
    x = 735,894,585.45/30,286.32
  6. Step 6: Final answer
    x = 24,297.92

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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.