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Finding the Fourth Proportional to 41,212.40, 56,830.38 and 35,263.76

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Solution

The fourth proportional to 41,212.40, 56,830.38 and 35,263.76 is: 48,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,212.40 : 56,830.38 = 35,263.76 : x
  2. Step 2: Convert to fraction form
    41,212.40/56,830.38 = 35,263.76/x
  3. Step 3: Cross multiply
    41,212.40x = 56,830.38 × 35,263.76
  4. Step 4: Simplify right side
    41,212.40x = 2,004,052,881.03
  5. Step 5: Solve for x
    x = 2,004,052,881.03/41,212.40
  6. Step 6: Final answer
    x = 48,627.42

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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.