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Finding the Fourth Proportional to 180,994.33, 271,530.49 and 54,624

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Solution

The fourth proportional to 180,994.33, 271,530.49 and 54,624 is: 81,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,994.33 : 271,530.49 = 54,624 : x
  2. Step 2: Convert to fraction form
    180,994.33/271,530.49 = 54,624/x
  3. Step 3: Cross multiply
    180,994.33x = 271,530.49 × 54,624
  4. Step 4: Simplify right side
    180,994.33x = 14,832,081,485.76
  5. Step 5: Solve for x
    x = 14,832,081,485.76/180,994.33
  6. Step 6: Final answer
    x = 81,947.77

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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.