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Finding the Fourth Proportional to 30,811.19, 42,519.31 and 17,382.44

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Solution

The fourth proportional to 30,811.19, 42,519.31 and 17,382.44 is: 23,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.19 : 42,519.31 = 17,382.44 : x
  2. Step 2: Convert to fraction form
    30,811.19/42,519.31 = 17,382.44/x
  3. Step 3: Cross multiply
    30,811.19x = 42,519.31 × 17,382.44
  4. Step 4: Simplify right side
    30,811.19x = 739,089,417.76
  5. Step 5: Solve for x
    x = 739,089,417.76/30,811.19
  6. Step 6: Final answer
    x = 23,987.70

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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.