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Finding the Fourth Proportional to 47,550.34, 65,620.50 and 26,041

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Solution

The fourth proportional to 47,550.34, 65,620.50 and 26,041 is: 35,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,550.34 : 65,620.50 = 26,041 : x
  2. Step 2: Convert to fraction form
    47,550.34/65,620.50 = 26,041/x
  3. Step 3: Cross multiply
    47,550.34x = 65,620.50 × 26,041
  4. Step 4: Simplify right side
    47,550.34x = 1,708,823,440.50
  5. Step 5: Solve for x
    x = 1,708,823,440.50/47,550.34
  6. Step 6: Final answer
    x = 35,937.14

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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.