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Finding the Fourth Proportional to 66,842, 100,196.28 and 33,460.16

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Solution

The fourth proportional to 66,842, 100,196.28 and 33,460.16 is: 50,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,842 : 100,196.28 = 33,460.16 : x
  2. Step 2: Convert to fraction form
    66,842/100,196.28 = 33,460.16/x
  3. Step 3: Cross multiply
    66,842x = 100,196.28 × 33,460.16
  4. Step 4: Simplify right side
    66,842x = 3,352,583,560.20
  5. Step 5: Solve for x
    x = 3,352,583,560.20/66,842
  6. Step 6: Final answer
    x = 50,156.84

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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.