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Finding the Fourth Proportional to 31,746.40, 43,794.17 and 20,266.67

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Solution

The fourth proportional to 31,746.40, 43,794.17 and 20,266.67 is: 27,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,746.40 : 43,794.17 = 20,266.67 : x
  2. Step 2: Convert to fraction form
    31,746.40/43,794.17 = 20,266.67/x
  3. Step 3: Cross multiply
    31,746.40x = 43,794.17 × 20,266.67
  4. Step 4: Simplify right side
    31,746.40x = 887,562,075.47
  5. Step 5: Solve for x
    x = 887,562,075.47/31,746.40
  6. Step 6: Final answer
    x = 27,957.88

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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.