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Finding the Fourth Proportional to 57,441.48, 86,074.20 and 38,652

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Solution

The fourth proportional to 57,441.48, 86,074.20 and 38,652 is: 57,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,441.48 : 86,074.20 = 38,652 : x
  2. Step 2: Convert to fraction form
    57,441.48/86,074.20 = 38,652/x
  3. Step 3: Cross multiply
    57,441.48x = 86,074.20 × 38,652
  4. Step 4: Simplify right side
    57,441.48x = 3,326,939,978.40
  5. Step 5: Solve for x
    x = 3,326,939,978.40/57,441.48
  6. Step 6: Final answer
    x = 57,918.77

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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.