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Finding the Fourth Proportional to 32,176.42, 44,403.47 and 19,601.17

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Solution

The fourth proportional to 32,176.42, 44,403.47 and 19,601.17 is: 27,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.42 : 44,403.47 = 19,601.17 : x
  2. Step 2: Convert to fraction form
    32,176.42/44,403.47 = 19,601.17/x
  3. Step 3: Cross multiply
    32,176.42x = 44,403.47 × 19,601.17
  4. Step 4: Simplify right side
    32,176.42x = 870,359,828.55
  5. Step 5: Solve for x
    x = 870,359,828.55/32,176.42
  6. Step 6: Final answer
    x = 27,049.62

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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.