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Finding the Fourth Proportional to 47,805.94, 65,973.90 and 26,297.32

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Solution

The fourth proportional to 47,805.94, 65,973.90 and 26,297.32 is: 36,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,805.94 : 65,973.90 = 26,297.32 : x
  2. Step 2: Convert to fraction form
    47,805.94/65,973.90 = 26,297.32/x
  3. Step 3: Cross multiply
    47,805.94x = 65,973.90 × 26,297.32
  4. Step 4: Simplify right side
    47,805.94x = 1,734,936,759.95
  5. Step 5: Solve for x
    x = 1,734,936,759.95/47,805.94
  6. Step 6: Final answer
    x = 36,291.24

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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.