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Finding the Fourth Proportional to 31,009.70, 42,817.49 and 23,828.30

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Solution

The fourth proportional to 31,009.70, 42,817.49 and 23,828.30 is: 32,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.70 : 42,817.49 = 23,828.30 : x
  2. Step 2: Convert to fraction form
    31,009.70/42,817.49 = 23,828.30/x
  3. Step 3: Cross multiply
    31,009.70x = 42,817.49 × 23,828.30
  4. Step 4: Simplify right side
    31,009.70x = 1,020,267,846.90
  5. Step 5: Solve for x
    x = 1,020,267,846.90/31,009.70
  6. Step 6: Final answer
    x = 32,901.57

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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.