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Finding the Fourth Proportional to 31,783.28, 43,875.36 and 21,728

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Solution

The fourth proportional to 31,783.28, 43,875.36 and 21,728 is: 29,994.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.28 : 43,875.36 = 21,728 : x
  2. Step 2: Convert to fraction form
    31,783.28/43,875.36 = 21,728/x
  3. Step 3: Cross multiply
    31,783.28x = 43,875.36 × 21,728
  4. Step 4: Simplify right side
    31,783.28x = 953,323,822.08
  5. Step 5: Solve for x
    x = 953,323,822.08/31,783.28
  6. Step 6: Final answer
    x = 29,994.51

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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.