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Finding the Fourth Proportional to 55,215.44, 82,817.40 and 15,770

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Solution

The fourth proportional to 55,215.44, 82,817.40 and 15,770 is: 23,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,215.44 : 82,817.40 = 15,770 : x
  2. Step 2: Convert to fraction form
    55,215.44/82,817.40 = 15,770/x
  3. Step 3: Cross multiply
    55,215.44x = 82,817.40 × 15,770
  4. Step 4: Simplify right side
    55,215.44x = 1,306,030,398
  5. Step 5: Solve for x
    x = 1,306,030,398/55,215.44
  6. Step 6: Final answer
    x = 23,653.35

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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.