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Finding the Fourth Proportional to 34,646.96, 47,813.88 and 19,742

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Solution

The fourth proportional to 34,646.96, 47,813.88 and 19,742 is: 27,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,646.96 : 47,813.88 = 19,742 : x
  2. Step 2: Convert to fraction form
    34,646.96/47,813.88 = 19,742/x
  3. Step 3: Cross multiply
    34,646.96x = 47,813.88 × 19,742
  4. Step 4: Simplify right side
    34,646.96x = 943,941,618.96
  5. Step 5: Solve for x
    x = 943,941,618.96/34,646.96
  6. Step 6: Final answer
    x = 27,244.57

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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.