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Finding the Fourth Proportional to 55,266.89, 82,900.10 and 15,824

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Solution

The fourth proportional to 55,266.89, 82,900.10 and 15,824 is: 23,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,266.89 : 82,900.10 = 15,824 : x
  2. Step 2: Convert to fraction form
    55,266.89/82,900.10 = 15,824/x
  3. Step 3: Cross multiply
    55,266.89x = 82,900.10 × 15,824
  4. Step 4: Simplify right side
    55,266.89x = 1,311,811,182.40
  5. Step 5: Solve for x
    x = 1,311,811,182.40/55,266.89
  6. Step 6: Final answer
    x = 23,735.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.