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Finding the Fourth Proportional to 30,209.69, 41,672.57 and 28,071.47

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Solution

The fourth proportional to 30,209.69, 41,672.57 and 28,071.47 is: 38,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.69 : 41,672.57 = 28,071.47 : x
  2. Step 2: Convert to fraction form
    30,209.69/41,672.57 = 28,071.47/x
  3. Step 3: Cross multiply
    30,209.69x = 41,672.57 × 28,071.47
  4. Step 4: Simplify right side
    30,209.69x = 1,169,810,367.67
  5. Step 5: Solve for x
    x = 1,169,810,367.67/30,209.69
  6. Step 6: Final answer
    x = 38,723.02

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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.