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Finding the Fourth Proportional to 34,208.33, 47,208.42 and 20,776.50

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Solution

The fourth proportional to 34,208.33, 47,208.42 and 20,776.50 is: 28,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,208.33 : 47,208.42 = 20,776.50 : x
  2. Step 2: Convert to fraction form
    34,208.33/47,208.42 = 20,776.50/x
  3. Step 3: Cross multiply
    34,208.33x = 47,208.42 × 20,776.50
  4. Step 4: Simplify right side
    34,208.33x = 980,825,738.13
  5. Step 5: Solve for x
    x = 980,825,738.13/34,208.33
  6. Step 6: Final answer
    x = 28,672.14

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