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Finding the Fourth Proportional to 30,489.16, 45,736.48 and 8,302.64

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Solution

The fourth proportional to 30,489.16, 45,736.48 and 8,302.64 is: 12,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.16 : 45,736.48 = 8,302.64 : x
  2. Step 2: Convert to fraction form
    30,489.16/45,736.48 = 8,302.64/x
  3. Step 3: Cross multiply
    30,489.16x = 45,736.48 × 8,302.64
  4. Step 4: Simplify right side
    30,489.16x = 379,733,528.31
  5. Step 5: Solve for x
    x = 379,733,528.31/30,489.16
  6. Step 6: Final answer
    x = 12,454.71

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Why These Related Problems?

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