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Finding the Fourth Proportional to 47,757.84, 65,907.48 and 26,538

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Solution

The fourth proportional to 47,757.84, 65,907.48 and 26,538 is: 36,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,757.84 : 65,907.48 = 26,538 : x
  2. Step 2: Convert to fraction form
    47,757.84/65,907.48 = 26,538/x
  3. Step 3: Cross multiply
    47,757.84x = 65,907.48 × 26,538
  4. Step 4: Simplify right side
    47,757.84x = 1,749,052,704.24
  5. Step 5: Solve for x
    x = 1,749,052,704.24/47,757.84
  6. Step 6: Final answer
    x = 36,623.36

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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.