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Finding the Fourth Proportional to 51,470.64, 71,020.26 and 30,254.16

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Solution

The fourth proportional to 51,470.64, 71,020.26 and 30,254.16 is: 41,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,470.64 : 71,020.26 = 30,254.16 : x
  2. Step 2: Convert to fraction form
    51,470.64/71,020.26 = 30,254.16/x
  3. Step 3: Cross multiply
    51,470.64x = 71,020.26 × 30,254.16
  4. Step 4: Simplify right side
    51,470.64x = 2,148,658,309.28
  5. Step 5: Solve for x
    x = 2,148,658,309.28/51,470.64
  6. Step 6: Final answer
    x = 41,745.32

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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.