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Finding the Fourth Proportional to 31,416.42, 43,314.22 and 25,730.22

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Solution

The fourth proportional to 31,416.42, 43,314.22 and 25,730.22 is: 35,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416.42 : 43,314.22 = 25,730.22 : x
  2. Step 2: Convert to fraction form
    31,416.42/43,314.22 = 25,730.22/x
  3. Step 3: Cross multiply
    31,416.42x = 43,314.22 × 25,730.22
  4. Step 4: Simplify right side
    31,416.42x = 1,114,484,409.73
  5. Step 5: Solve for x
    x = 1,114,484,409.73/31,416.42
  6. Step 6: Final answer
    x = 35,474.58

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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.