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Finding the Fourth Proportional to 31,302.40, 46,912.02 and 11,562.76

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Solution

The fourth proportional to 31,302.40, 46,912.02 and 11,562.76 is: 17,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302.40 : 46,912.02 = 11,562.76 : x
  2. Step 2: Convert to fraction form
    31,302.40/46,912.02 = 11,562.76/x
  3. Step 3: Cross multiply
    31,302.40x = 46,912.02 × 11,562.76
  4. Step 4: Simplify right side
    31,302.40x = 542,432,428.38
  5. Step 5: Solve for x
    x = 542,432,428.38/31,302.40
  6. Step 6: Final answer
    x = 17,328.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.