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Finding the Fourth Proportional to 47,117.22, 65,022.17 and 25,896.98

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Solution

The fourth proportional to 47,117.22, 65,022.17 and 25,896.98 is: 35,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,117.22 : 65,022.17 = 25,896.98 : x
  2. Step 2: Convert to fraction form
    47,117.22/65,022.17 = 25,896.98/x
  3. Step 3: Cross multiply
    47,117.22x = 65,022.17 × 25,896.98
  4. Step 4: Simplify right side
    47,117.22x = 1,683,877,836.05
  5. Step 5: Solve for x
    x = 1,683,877,836.05/47,117.22
  6. Step 6: Final answer
    x = 35,738.06

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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.