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Finding the Fourth Proportional to 47,994.74, 66,232.56 and 26,774

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Solution

The fourth proportional to 47,994.74, 66,232.56 and 26,774 is: 36,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,994.74 : 66,232.56 = 26,774 : x
  2. Step 2: Convert to fraction form
    47,994.74/66,232.56 = 26,774/x
  3. Step 3: Cross multiply
    47,994.74x = 66,232.56 × 26,774
  4. Step 4: Simplify right side
    47,994.74x = 1,773,310,561.44
  5. Step 5: Solve for x
    x = 1,773,310,561.44/47,994.74
  6. Step 6: Final answer
    x = 36,948.02

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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.