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Finding the Fourth Proportional to 39,449.34, 54,447.12 and 23,316

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Solution

The fourth proportional to 39,449.34, 54,447.12 and 23,316 is: 32,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,449.34 : 54,447.12 = 23,316 : x
  2. Step 2: Convert to fraction form
    39,449.34/54,447.12 = 23,316/x
  3. Step 3: Cross multiply
    39,449.34x = 54,447.12 × 23,316
  4. Step 4: Simplify right side
    39,449.34x = 1,269,489,049.92
  5. Step 5: Solve for x
    x = 1,269,489,049.92/39,449.34
  6. Step 6: Final answer
    x = 32,180.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.