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Finding the Fourth Proportional to 39,599.76, 54,646 and 23,674.80

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Solution

The fourth proportional to 39,599.76, 54,646 and 23,674.80 is: 32,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,599.76 : 54,646 = 23,674.80 : x
  2. Step 2: Convert to fraction form
    39,599.76/54,646 = 23,674.80/x
  3. Step 3: Cross multiply
    39,599.76x = 54,646 × 23,674.80
  4. Step 4: Simplify right side
    39,599.76x = 1,293,733,120.80
  5. Step 5: Solve for x
    x = 1,293,733,120.80/39,599.76
  6. Step 6: Final answer
    x = 32,670.23

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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.