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Finding the Fourth Proportional to 31,056.56, 42,858.36 and 17,806

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Solution

The fourth proportional to 31,056.56, 42,858.36 and 17,806 is: 24,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.56 : 42,858.36 = 17,806 : x
  2. Step 2: Convert to fraction form
    31,056.56/42,858.36 = 17,806/x
  3. Step 3: Cross multiply
    31,056.56x = 42,858.36 × 17,806
  4. Step 4: Simplify right side
    31,056.56x = 763,135,958.16
  5. Step 5: Solve for x
    x = 763,135,958.16/31,056.56
  6. Step 6: Final answer
    x = 24,572.46

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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.