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Finding the Fourth Proportional to 57,076.50, 85,615.02 and 15,523.50

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Solution

The fourth proportional to 57,076.50, 85,615.02 and 15,523.50 is: 23,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,076.50 : 85,615.02 = 15,523.50 : x
  2. Step 2: Convert to fraction form
    57,076.50/85,615.02 = 15,523.50/x
  3. Step 3: Cross multiply
    57,076.50x = 85,615.02 × 15,523.50
  4. Step 4: Simplify right side
    57,076.50x = 1,329,044,762.97
  5. Step 5: Solve for x
    x = 1,329,044,762.97/57,076.50
  6. Step 6: Final answer
    x = 23,285.32

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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.