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Finding the Fourth Proportional to 31,429, 43,362.30 and 20,824.48

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Solution

The fourth proportional to 31,429, 43,362.30 and 20,824.48 is: 28,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,429 : 43,362.30 = 20,824.48 : x
  2. Step 2: Convert to fraction form
    31,429/43,362.30 = 20,824.48/x
  3. Step 3: Cross multiply
    31,429x = 43,362.30 × 20,824.48
  4. Step 4: Simplify right side
    31,429x = 902,997,349.10
  5. Step 5: Solve for x
    x = 902,997,349.10/31,429
  6. Step 6: Final answer
    x = 28,731.34

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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.