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Finding the Fourth Proportional to 39,733.72, 54,832.88 and 21,829.12

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Solution

The fourth proportional to 39,733.72, 54,832.88 and 21,829.12 is: 30,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,733.72 : 54,832.88 = 21,829.12 : x
  2. Step 2: Convert to fraction form
    39,733.72/54,832.88 = 21,829.12/x
  3. Step 3: Cross multiply
    39,733.72x = 54,832.88 × 21,829.12
  4. Step 4: Simplify right side
    39,733.72x = 1,196,953,517.47
  5. Step 5: Solve for x
    x = 1,196,953,517.47/39,733.72
  6. Step 6: Final answer
    x = 30,124.38

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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.