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Finding the Fourth Proportional to 82,284, 123,419.84 and 29,693.49

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Solution

The fourth proportional to 82,284, 123,419.84 and 29,693.49 is: 44,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,284 : 123,419.84 = 29,693.49 : x
  2. Step 2: Convert to fraction form
    82,284/123,419.84 = 29,693.49/x
  3. Step 3: Cross multiply
    82,284x = 123,419.84 × 29,693.49
  4. Step 4: Simplify right side
    82,284x = 3,664,765,784.84
  5. Step 5: Solve for x
    x = 3,664,765,784.84/82,284
  6. Step 6: Final answer
    x = 44,538.01

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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.