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Finding the Fourth Proportional to 31,405.86, 43,378.56 and 23,483.34

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Solution

The fourth proportional to 31,405.86, 43,378.56 and 23,483.34 is: 32,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.86 : 43,378.56 = 23,483.34 : x
  2. Step 2: Convert to fraction form
    31,405.86/43,378.56 = 23,483.34/x
  3. Step 3: Cross multiply
    31,405.86x = 43,378.56 × 23,483.34
  4. Step 4: Simplify right side
    31,405.86x = 1,018,673,473.19
  5. Step 5: Solve for x
    x = 1,018,673,473.19/31,405.86
  6. Step 6: Final answer
    x = 32,435.78

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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.