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Finding the Fourth Proportional to 30,504.67, 42,074.74 and 27,994.88

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Solution

The fourth proportional to 30,504.67, 42,074.74 and 27,994.88 is: 38,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,504.67 : 42,074.74 = 27,994.88 : x
  2. Step 2: Convert to fraction form
    30,504.67/42,074.74 = 27,994.88/x
  3. Step 3: Cross multiply
    30,504.67x = 42,074.74 × 27,994.88
  4. Step 4: Simplify right side
    30,504.67x = 1,177,877,437.51
  5. Step 5: Solve for x
    x = 1,177,877,437.51/30,504.67
  6. Step 6: Final answer
    x = 38,613.02

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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.