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Finding the Fourth Proportional to 33,419.10, 46,117 and 19,982.40

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Solution

The fourth proportional to 33,419.10, 46,117 and 19,982.40 is: 27,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,419.10 : 46,117 = 19,982.40 : x
  2. Step 2: Convert to fraction form
    33,419.10/46,117 = 19,982.40/x
  3. Step 3: Cross multiply
    33,419.10x = 46,117 × 19,982.40
  4. Step 4: Simplify right side
    33,419.10x = 921,528,340.80
  5. Step 5: Solve for x
    x = 921,528,340.80/33,419.10
  6. Step 6: Final answer
    x = 27,574.90

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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.