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Finding the Fourth Proportional to 55,842.84, 83,774.52 and 18,405.12

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Solution

The fourth proportional to 55,842.84, 83,774.52 and 18,405.12 is: 27,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,842.84 : 83,774.52 = 18,405.12 : x
  2. Step 2: Convert to fraction form
    55,842.84/83,774.52 = 18,405.12/x
  3. Step 3: Cross multiply
    55,842.84x = 83,774.52 × 18,405.12
  4. Step 4: Simplify right side
    55,842.84x = 1,541,880,093.54
  5. Step 5: Solve for x
    x = 1,541,880,093.54/55,842.84
  6. Step 6: Final answer
    x = 27,611.06

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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.