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Finding the Fourth Proportional to 47,205.96, 65,141.82 and 25,981.11

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Solution

The fourth proportional to 47,205.96, 65,141.82 and 25,981.11 is: 35,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,205.96 : 65,141.82 = 25,981.11 : x
  2. Step 2: Convert to fraction form
    47,205.96/65,141.82 = 25,981.11/x
  3. Step 3: Cross multiply
    47,205.96x = 65,141.82 × 25,981.11
  4. Step 4: Simplify right side
    47,205.96x = 1,692,456,791.02
  5. Step 5: Solve for x
    x = 1,692,456,791.02/47,205.96
  6. Step 6: Final answer
    x = 35,852.61

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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.