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Finding the Fourth Proportional to 31,160.40, 46,735.20 and 11,428.80

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Solution

The fourth proportional to 31,160.40, 46,735.20 and 11,428.80 is: 17,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,160.40 : 46,735.20 = 11,428.80 : x
  2. Step 2: Convert to fraction form
    31,160.40/46,735.20 = 11,428.80/x
  3. Step 3: Cross multiply
    31,160.40x = 46,735.20 × 11,428.80
  4. Step 4: Simplify right side
    31,160.40x = 534,127,253.76
  5. Step 5: Solve for x
    x = 534,127,253.76/31,160.40
  6. Step 6: Final answer
    x = 17,141.22

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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.