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Finding the Fourth Proportional to 30,736.88, 42,417.74 and 18,800

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Solution

The fourth proportional to 30,736.88, 42,417.74 and 18,800 is: 25,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,736.88 : 42,417.74 = 18,800 : x
  2. Step 2: Convert to fraction form
    30,736.88/42,417.74 = 18,800/x
  3. Step 3: Cross multiply
    30,736.88x = 42,417.74 × 18,800
  4. Step 4: Simplify right side
    30,736.88x = 797,453,512
  5. Step 5: Solve for x
    x = 797,453,512/30,736.88
  6. Step 6: Final answer
    x = 25,944.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.