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Finding the Fourth Proportional to 38,045.86, 57,082.32 and 16,984

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Solution

The fourth proportional to 38,045.86, 57,082.32 and 16,984 is: 25,482.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,045.86 : 57,082.32 = 16,984 : x
  2. Step 2: Convert to fraction form
    38,045.86/57,082.32 = 16,984/x
  3. Step 3: Cross multiply
    38,045.86x = 57,082.32 × 16,984
  4. Step 4: Simplify right side
    38,045.86x = 969,486,122.88
  5. Step 5: Solve for x
    x = 969,486,122.88/38,045.86
  6. Step 6: Final answer
    x = 25,482.04

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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.