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Finding the Fourth Proportional to 75,682.40, 113,523.26 and 23,091.71

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Solution

The fourth proportional to 75,682.40, 113,523.26 and 23,091.71 is: 34,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,682.40 : 113,523.26 = 23,091.71 : x
  2. Step 2: Convert to fraction form
    75,682.40/113,523.26 = 23,091.71/x
  3. Step 3: Cross multiply
    75,682.40x = 113,523.26 × 23,091.71
  4. Step 4: Simplify right side
    75,682.40x = 2,621,445,515.10
  5. Step 5: Solve for x
    x = 2,621,445,515.10/75,682.40
  6. Step 6: Final answer
    x = 34,637.45

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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.