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Finding the Fourth Proportional to 32,642.10, 45,067.74 and 25,074.90

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Solution

The fourth proportional to 32,642.10, 45,067.74 and 25,074.90 is: 34,619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642.10 : 45,067.74 = 25,074.90 : x
  2. Step 2: Convert to fraction form
    32,642.10/45,067.74 = 25,074.90/x
  3. Step 3: Cross multiply
    32,642.10x = 45,067.74 × 25,074.90
  4. Step 4: Simplify right side
    32,642.10x = 1,130,069,073.73
  5. Step 5: Solve for x
    x = 1,130,069,073.73/32,642.10
  6. Step 6: Final answer
    x = 34,619.99

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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.