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Finding the Fourth Proportional to 51,131.54, 70,571.31 and 30,999.40

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Solution

The fourth proportional to 51,131.54, 70,571.31 and 30,999.40 is: 42,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,131.54 : 70,571.31 = 30,999.40 : x
  2. Step 2: Convert to fraction form
    51,131.54/70,571.31 = 30,999.40/x
  3. Step 3: Cross multiply
    51,131.54x = 70,571.31 × 30,999.40
  4. Step 4: Simplify right side
    51,131.54x = 2,187,668,267.21
  5. Step 5: Solve for x
    x = 2,187,668,267.21/51,131.54
  6. Step 6: Final answer
    x = 42,785.10

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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.