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Finding the Fourth Proportional to 44,082, 66,123.36 and 16,380

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Solution

The fourth proportional to 44,082, 66,123.36 and 16,380 is: 24,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,082 : 66,123.36 = 16,380 : x
  2. Step 2: Convert to fraction form
    44,082/66,123.36 = 16,380/x
  3. Step 3: Cross multiply
    44,082x = 66,123.36 × 16,380
  4. Step 4: Simplify right side
    44,082x = 1,083,100,636.80
  5. Step 5: Solve for x
    x = 1,083,100,636.80/44,082
  6. Step 6: Final answer
    x = 24,570.13

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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.