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Finding the Fourth Proportional to 31,729.98, 43,698.54 and 31,041.18

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Solution

The fourth proportional to 31,729.98, 43,698.54 and 31,041.18 is: 42,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,729.98 : 43,698.54 = 31,041.18 : x
  2. Step 2: Convert to fraction form
    31,729.98/43,698.54 = 31,041.18/x
  3. Step 3: Cross multiply
    31,729.98x = 43,698.54 × 31,041.18
  4. Step 4: Simplify right side
    31,729.98x = 1,356,454,245.88
  5. Step 5: Solve for x
    x = 1,356,454,245.88/31,729.98
  6. Step 6: Final answer
    x = 42,749.92

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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.