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Finding the Fourth Proportional to 54,531.40, 81,809.34 and 19,471

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Solution

The fourth proportional to 54,531.40, 81,809.34 and 19,471 is: 29,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,531.40 : 81,809.34 = 19,471 : x
  2. Step 2: Convert to fraction form
    54,531.40/81,809.34 = 19,471/x
  3. Step 3: Cross multiply
    54,531.40x = 81,809.34 × 19,471
  4. Step 4: Simplify right side
    54,531.40x = 1,592,909,659.14
  5. Step 5: Solve for x
    x = 1,592,909,659.14/54,531.40
  6. Step 6: Final answer
    x = 29,210.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.