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Finding the Fourth Proportional to 30,653.14, 42,300.39 and 17,224.06

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Solution

The fourth proportional to 30,653.14, 42,300.39 and 17,224.06 is: 23,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.14 : 42,300.39 = 17,224.06 : x
  2. Step 2: Convert to fraction form
    30,653.14/42,300.39 = 17,224.06/x
  3. Step 3: Cross multiply
    30,653.14x = 42,300.39 × 17,224.06
  4. Step 4: Simplify right side
    30,653.14x = 728,584,455.38
  5. Step 5: Solve for x
    x = 728,584,455.38/30,653.14
  6. Step 6: Final answer
    x = 23,768.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.