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Finding the Fourth Proportional to 34,340.68, 47,384.22 and 20,196.19

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Solution

The fourth proportional to 34,340.68, 47,384.22 and 20,196.19 is: 27,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,340.68 : 47,384.22 = 20,196.19 : x
  2. Step 2: Convert to fraction form
    34,340.68/47,384.22 = 20,196.19/x
  3. Step 3: Cross multiply
    34,340.68x = 47,384.22 × 20,196.19
  4. Step 4: Simplify right side
    34,340.68x = 956,980,710.12
  5. Step 5: Solve for x
    x = 956,980,710.12/34,340.68
  6. Step 6: Final answer
    x = 27,867.26

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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.