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Finding the Fourth Proportional to 84,557.84, 126,838 and 40,189.12

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Solution

The fourth proportional to 84,557.84, 126,838 and 40,189.12 is: 60,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,557.84 : 126,838 = 40,189.12 : x
  2. Step 2: Convert to fraction form
    84,557.84/126,838 = 40,189.12/x
  3. Step 3: Cross multiply
    84,557.84x = 126,838 × 40,189.12
  4. Step 4: Simplify right side
    84,557.84x = 5,097,507,602.56
  5. Step 5: Solve for x
    x = 5,097,507,602.56/84,557.84
  6. Step 6: Final answer
    x = 60,284.27

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