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Finding the Fourth Proportional to 47,999, 66,238.44 and 26,777

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Solution

The fourth proportional to 47,999, 66,238.44 and 26,777 is: 36,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,999 : 66,238.44 = 26,777 : x
  2. Step 2: Convert to fraction form
    47,999/66,238.44 = 26,777/x
  3. Step 3: Cross multiply
    47,999x = 66,238.44 × 26,777
  4. Step 4: Simplify right side
    47,999x = 1,773,666,707.88
  5. Step 5: Solve for x
    x = 1,773,666,707.88/47,999
  6. Step 6: Final answer
    x = 36,952.16

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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.