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Finding the Fourth Proportional to 55,154.24, 82,681.92 and 21,852

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Solution

The fourth proportional to 55,154.24, 82,681.92 and 21,852 is: 32,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,154.24 : 82,681.92 = 21,852 : x
  2. Step 2: Convert to fraction form
    55,154.24/82,681.92 = 21,852/x
  3. Step 3: Cross multiply
    55,154.24x = 82,681.92 × 21,852
  4. Step 4: Simplify right side
    55,154.24x = 1,806,765,315.84
  5. Step 5: Solve for x
    x = 1,806,765,315.84/55,154.24
  6. Step 6: Final answer
    x = 32,758.41

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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.