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Finding the Fourth Proportional to 31,416.53, 43,355.12 and 17,076.42

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Solution

The fourth proportional to 31,416.53, 43,355.12 and 17,076.42 is: 23,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416.53 : 43,355.12 = 17,076.42 : x
  2. Step 2: Convert to fraction form
    31,416.53/43,355.12 = 17,076.42/x
  3. Step 3: Cross multiply
    31,416.53x = 43,355.12 × 17,076.42
  4. Step 4: Simplify right side
    31,416.53x = 740,350,152.89
  5. Step 5: Solve for x
    x = 740,350,152.89/31,416.53
  6. Step 6: Final answer
    x = 23,565.63

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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.