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Finding the Fourth Proportional to 32,180.42, 44,408.98 and 19,605.16

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Solution

The fourth proportional to 32,180.42, 44,408.98 and 19,605.16 is: 27,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,180.42 : 44,408.98 = 19,605.16 : x
  2. Step 2: Convert to fraction form
    32,180.42/44,408.98 = 19,605.16/x
  3. Step 3: Cross multiply
    32,180.42x = 44,408.98 × 19,605.16
  4. Step 4: Simplify right side
    32,180.42x = 870,645,158.34
  5. Step 5: Solve for x
    x = 870,645,158.34/32,180.42
  6. Step 6: Final answer
    x = 27,055.12

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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.