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Finding the Fourth Proportional to 32,954.40, 45,477.16 and 17,847.25

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Solution

The fourth proportional to 32,954.40, 45,477.16 and 17,847.25 is: 24,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954.40 : 45,477.16 = 17,847.25 : x
  2. Step 2: Convert to fraction form
    32,954.40/45,477.16 = 17,847.25/x
  3. Step 3: Cross multiply
    32,954.40x = 45,477.16 × 17,847.25
  4. Step 4: Simplify right side
    32,954.40x = 811,642,085.50
  5. Step 5: Solve for x
    x = 811,642,085.50/32,954.40
  6. Step 6: Final answer
    x = 24,629.25

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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.