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Finding the Fourth Proportional to 31,370.64, 47,043.40 and 13,828

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Solution

The fourth proportional to 31,370.64, 47,043.40 and 13,828 is: 20,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,370.64 : 47,043.40 = 13,828 : x
  2. Step 2: Convert to fraction form
    31,370.64/47,043.40 = 13,828/x
  3. Step 3: Cross multiply
    31,370.64x = 47,043.40 × 13,828
  4. Step 4: Simplify right side
    31,370.64x = 650,516,135.20
  5. Step 5: Solve for x
    x = 650,516,135.20/31,370.64
  6. Step 6: Final answer
    x = 20,736.46

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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.