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Finding the Fourth Proportional to 27,941.80, 41,907.90 and 10,402.60

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Solution

The fourth proportional to 27,941.80, 41,907.90 and 10,402.60 is: 15,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,941.80 : 41,907.90 = 10,402.60 : x
  2. Step 2: Convert to fraction form
    27,941.80/41,907.90 = 10,402.60/x
  3. Step 3: Cross multiply
    27,941.80x = 41,907.90 × 10,402.60
  4. Step 4: Simplify right side
    27,941.80x = 435,951,120.54
  5. Step 5: Solve for x
    x = 435,951,120.54/27,941.80
  6. Step 6: Final answer
    x = 15,602.11

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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.