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Finding the Fourth Proportional to 57,709.60, 86,564.40 and 38,010.40

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Solution

The fourth proportional to 57,709.60, 86,564.40 and 38,010.40 is: 57,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709.60 : 86,564.40 = 38,010.40 : x
  2. Step 2: Convert to fraction form
    57,709.60/86,564.40 = 38,010.40/x
  3. Step 3: Cross multiply
    57,709.60x = 86,564.40 × 38,010.40
  4. Step 4: Simplify right side
    57,709.60x = 3,290,347,469.76
  5. Step 5: Solve for x
    x = 3,290,347,469.76/57,709.60
  6. Step 6: Final answer
    x = 57,015.60

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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.