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Finding the Fourth Proportional to 47,233.70, 65,182 and 26,012.50

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Solution

The fourth proportional to 47,233.70, 65,182 and 26,012.50 is: 35,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,233.70 : 65,182 = 26,012.50 : x
  2. Step 2: Convert to fraction form
    47,233.70/65,182 = 26,012.50/x
  3. Step 3: Cross multiply
    47,233.70x = 65,182 × 26,012.50
  4. Step 4: Simplify right side
    47,233.70x = 1,695,546,775
  5. Step 5: Solve for x
    x = 1,695,546,775/47,233.70
  6. Step 6: Final answer
    x = 35,896.97

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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.