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Finding the Fourth Proportional to 47,225, 65,170.50 and 26,004.22

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Solution

The fourth proportional to 47,225, 65,170.50 and 26,004.22 is: 35,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,225 : 65,170.50 = 26,004.22 : x
  2. Step 2: Convert to fraction form
    47,225/65,170.50 = 26,004.22/x
  3. Step 3: Cross multiply
    47,225x = 65,170.50 × 26,004.22
  4. Step 4: Simplify right side
    47,225x = 1,694,708,019.51
  5. Step 5: Solve for x
    x = 1,694,708,019.51/47,225
  6. Step 6: Final answer
    x = 35,885.82

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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.