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Finding the Fourth Proportional to 55,045.44, 82,568.16 and 23,880

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Solution

The fourth proportional to 55,045.44, 82,568.16 and 23,880 is: 35,820

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,045.44 : 82,568.16 = 23,880 : x
  2. Step 2: Convert to fraction form
    55,045.44/82,568.16 = 23,880/x
  3. Step 3: Cross multiply
    55,045.44x = 82,568.16 × 23,880
  4. Step 4: Simplify right side
    55,045.44x = 1,971,727,660.80
  5. Step 5: Solve for x
    x = 1,971,727,660.80/55,045.44
  6. Step 6: Final answer
    x = 35,820

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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.