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Finding the Fourth Proportional to 30,629.64, 45,915.30 and 9,838.56

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Solution

The fourth proportional to 30,629.64, 45,915.30 and 9,838.56 is: 14,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,629.64 : 45,915.30 = 9,838.56 : x
  2. Step 2: Convert to fraction form
    30,629.64/45,915.30 = 9,838.56/x
  3. Step 3: Cross multiply
    30,629.64x = 45,915.30 × 9,838.56
  4. Step 4: Simplify right side
    30,629.64x = 451,740,433.97
  5. Step 5: Solve for x
    x = 451,740,433.97/30,629.64
  6. Step 6: Final answer
    x = 14,748.47

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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.