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Finding the Fourth Proportional to 31,477.86, 43,442.52 and 23,506.26

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Solution

The fourth proportional to 31,477.86, 43,442.52 and 23,506.26 is: 32,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.86 : 43,442.52 = 23,506.26 : x
  2. Step 2: Convert to fraction form
    31,477.86/43,442.52 = 23,506.26/x
  3. Step 3: Cross multiply
    31,477.86x = 43,442.52 × 23,506.26
  4. Step 4: Simplify right side
    31,477.86x = 1,021,171,170.18
  5. Step 5: Solve for x
    x = 1,021,171,170.18/31,477.86
  6. Step 6: Final answer
    x = 32,440.93

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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.