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Finding the Fourth Proportional to 30,980.96, 46,474.32 and 10,204.64

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Solution

The fourth proportional to 30,980.96, 46,474.32 and 10,204.64 is: 15,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.96 : 46,474.32 = 10,204.64 : x
  2. Step 2: Convert to fraction form
    30,980.96/46,474.32 = 10,204.64/x
  3. Step 3: Cross multiply
    30,980.96x = 46,474.32 × 10,204.64
  4. Step 4: Simplify right side
    30,980.96x = 474,253,704.84
  5. Step 5: Solve for x
    x = 474,253,704.84/30,980.96
  6. Step 6: Final answer
    x = 15,307.91

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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.