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Finding the Fourth Proportional to 54,346.96, 81,400 and 41,774.40

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Solution

The fourth proportional to 54,346.96, 81,400 and 41,774.40 is: 62,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,346.96 : 81,400 = 41,774.40 : x
  2. Step 2: Convert to fraction form
    54,346.96/81,400 = 41,774.40/x
  3. Step 3: Cross multiply
    54,346.96x = 81,400 × 41,774.40
  4. Step 4: Simplify right side
    54,346.96x = 3,400,436,160
  5. Step 5: Solve for x
    x = 3,400,436,160/54,346.96
  6. Step 6: Final answer
    x = 62,569.02

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Why These Related Problems?

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