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Finding the Fourth Proportional to 47,163.84, 65,085.02 and 25,942.66

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Solution

The fourth proportional to 47,163.84, 65,085.02 and 25,942.66 is: 35,800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,163.84 : 65,085.02 = 25,942.66 : x
  2. Step 2: Convert to fraction form
    47,163.84/65,085.02 = 25,942.66/x
  3. Step 3: Cross multiply
    47,163.84x = 65,085.02 × 25,942.66
  4. Step 4: Simplify right side
    47,163.84x = 1,688,478,544.95
  5. Step 5: Solve for x
    x = 1,688,478,544.95/47,163.84
  6. Step 6: Final answer
    x = 35,800.28

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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.