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Finding the Fourth Proportional to 38,209.06, 57,315.41 and 16,023.16

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Solution

The fourth proportional to 38,209.06, 57,315.41 and 16,023.16 is: 24,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.06 : 57,315.41 = 16,023.16 : x
  2. Step 2: Convert to fraction form
    38,209.06/57,315.41 = 16,023.16/x
  3. Step 3: Cross multiply
    38,209.06x = 57,315.41 × 16,023.16
  4. Step 4: Simplify right side
    38,209.06x = 918,373,984.90
  5. Step 5: Solve for x
    x = 918,373,984.90/38,209.06
  6. Step 6: Final answer
    x = 24,035.50

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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.