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Finding the Fourth Proportional to 31,409.17, 43,294.07 and 25,733.90

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Solution

The fourth proportional to 31,409.17, 43,294.07 and 25,733.90 is: 35,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.17 : 43,294.07 = 25,733.90 : x
  2. Step 2: Convert to fraction form
    31,409.17/43,294.07 = 25,733.90/x
  3. Step 3: Cross multiply
    31,409.17x = 43,294.07 × 25,733.90
  4. Step 4: Simplify right side
    31,409.17x = 1,114,125,440.54
  5. Step 5: Solve for x
    x = 1,114,125,440.54/31,409.17
  6. Step 6: Final answer
    x = 35,471.35

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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.