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Finding the Fourth Proportional to 75,734, 113,615.60 and 34,181.04

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Solution

The fourth proportional to 75,734, 113,615.60 and 34,181.04 is: 51,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,734 : 113,615.60 = 34,181.04 : x
  2. Step 2: Convert to fraction form
    75,734/113,615.60 = 34,181.04/x
  3. Step 3: Cross multiply
    75,734x = 113,615.60 × 34,181.04
  4. Step 4: Simplify right side
    75,734x = 3,883,499,368.22
  5. Step 5: Solve for x
    x = 3,883,499,368.22/75,734
  6. Step 6: Final answer
    x = 51,278.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.