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Finding the Fourth Proportional to 30,580.56, 45,865.44 and 13,936.64

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Solution

The fourth proportional to 30,580.56, 45,865.44 and 13,936.64 is: 20,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.56 : 45,865.44 = 13,936.64 : x
  2. Step 2: Convert to fraction form
    30,580.56/45,865.44 = 13,936.64/x
  3. Step 3: Cross multiply
    30,580.56x = 45,865.44 × 13,936.64
  4. Step 4: Simplify right side
    30,580.56x = 639,210,125.72
  5. Step 5: Solve for x
    x = 639,210,125.72/30,580.56
  6. Step 6: Final answer
    x = 20,902.50

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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.