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Finding the Fourth Proportional to 32,014.58, 44,180.29 and 17,674.16

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Solution

The fourth proportional to 32,014.58, 44,180.29 and 17,674.16 is: 24,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.58 : 44,180.29 = 17,674.16 : x
  2. Step 2: Convert to fraction form
    32,014.58/44,180.29 = 17,674.16/x
  3. Step 3: Cross multiply
    32,014.58x = 44,180.29 × 17,674.16
  4. Step 4: Simplify right side
    32,014.58x = 780,849,514.31
  5. Step 5: Solve for x
    x = 780,849,514.31/32,014.58
  6. Step 6: Final answer
    x = 24,390.43

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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.