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Finding the Fourth Proportional to 33,870, 46,742.04 and 19,720.56

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Solution

The fourth proportional to 33,870, 46,742.04 and 19,720.56 is: 27,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,870 : 46,742.04 = 19,720.56 : x
  2. Step 2: Convert to fraction form
    33,870/46,742.04 = 19,720.56/x
  3. Step 3: Cross multiply
    33,870x = 46,742.04 × 19,720.56
  4. Step 4: Simplify right side
    33,870x = 921,779,204.34
  5. Step 5: Solve for x
    x = 921,779,204.34/33,870
  6. Step 6: Final answer
    x = 27,215.21

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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.