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Finding the Fourth Proportional to 34,778.94, 47,987.55 and 20,636.38

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Solution

The fourth proportional to 34,778.94, 47,987.55 and 20,636.38 is: 28,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,778.94 : 47,987.55 = 20,636.38 : x
  2. Step 2: Convert to fraction form
    34,778.94/47,987.55 = 20,636.38/x
  3. Step 3: Cross multiply
    34,778.94x = 47,987.55 × 20,636.38
  4. Step 4: Simplify right side
    34,778.94x = 990,289,317.07
  5. Step 5: Solve for x
    x = 990,289,317.07/34,778.94
  6. Step 6: Final answer
    x = 28,473.82

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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.