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Finding the Fourth Proportional to 57,457.54, 86,002.44 and 30,766.42

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Solution

The fourth proportional to 57,457.54, 86,002.44 and 30,766.42 is: 46,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,457.54 : 86,002.44 = 30,766.42 : x
  2. Step 2: Convert to fraction form
    57,457.54/86,002.44 = 30,766.42/x
  3. Step 3: Cross multiply
    57,457.54x = 86,002.44 × 30,766.42
  4. Step 4: Simplify right side
    57,457.54x = 2,645,987,190.06
  5. Step 5: Solve for x
    x = 2,645,987,190.06/57,457.54
  6. Step 6: Final answer
    x = 46,051.17

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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.