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Finding the Fourth Proportional to 57,222.46, 85,831.87 and 17,768.98

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Solution

The fourth proportional to 57,222.46, 85,831.87 and 17,768.98 is: 26,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,222.46 : 85,831.87 = 17,768.98 : x
  2. Step 2: Convert to fraction form
    57,222.46/85,831.87 = 17,768.98/x
  3. Step 3: Cross multiply
    57,222.46x = 85,831.87 × 17,768.98
  4. Step 4: Simplify right side
    57,222.46x = 1,525,144,692.55
  5. Step 5: Solve for x
    x = 1,525,144,692.55/57,222.46
  6. Step 6: Final answer
    x = 26,652.90

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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.