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Finding the Fourth Proportional to 34,346.76, 47,389.68 and 20,196.96

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Solution

The fourth proportional to 34,346.76, 47,389.68 and 20,196.96 is: 27,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,346.76 : 47,389.68 = 20,196.96 : x
  2. Step 2: Convert to fraction form
    34,346.76/47,389.68 = 20,196.96/x
  3. Step 3: Cross multiply
    34,346.76x = 47,389.68 × 20,196.96
  4. Step 4: Simplify right side
    34,346.76x = 957,127,471.37
  5. Step 5: Solve for x
    x = 957,127,471.37/34,346.76
  6. Step 6: Final answer
    x = 27,866.60

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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.