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Finding the Fourth Proportional to 51,204.30, 76,806.45 and 14,268.30

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Solution

The fourth proportional to 51,204.30, 76,806.45 and 14,268.30 is: 21,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,204.30 : 76,806.45 = 14,268.30 : x
  2. Step 2: Convert to fraction form
    51,204.30/76,806.45 = 14,268.30/x
  3. Step 3: Cross multiply
    51,204.30x = 76,806.45 × 14,268.30
  4. Step 4: Simplify right side
    51,204.30x = 1,095,897,470.54
  5. Step 5: Solve for x
    x = 1,095,897,470.54/51,204.30
  6. Step 6: Final answer
    x = 21,402.45

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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.