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Finding the Fourth Proportional to 30,643.68, 45,942.36 and 15,653

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Solution

The fourth proportional to 30,643.68, 45,942.36 and 15,653 is: 23,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.68 : 45,942.36 = 15,653 : x
  2. Step 2: Convert to fraction form
    30,643.68/45,942.36 = 15,653/x
  3. Step 3: Cross multiply
    30,643.68x = 45,942.36 × 15,653
  4. Step 4: Simplify right side
    30,643.68x = 719,135,761.08
  5. Step 5: Solve for x
    x = 719,135,761.08/30,643.68
  6. Step 6: Final answer
    x = 23,467.67

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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.