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Finding the Fourth Proportional to 30,189.63, 41,667.60 and 19,280.76

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Solution

The fourth proportional to 30,189.63, 41,667.60 and 19,280.76 is: 26,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189.63 : 41,667.60 = 19,280.76 : x
  2. Step 2: Convert to fraction form
    30,189.63/41,667.60 = 19,280.76/x
  3. Step 3: Cross multiply
    30,189.63x = 41,667.60 × 19,280.76
  4. Step 4: Simplify right side
    30,189.63x = 803,382,995.38
  5. Step 5: Solve for x
    x = 803,382,995.38/30,189.63
  6. Step 6: Final answer
    x = 26,611.22

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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.