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Finding the Fourth Proportional to 57,351.60, 86,027.40 and 31,982.40

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Solution

The fourth proportional to 57,351.60, 86,027.40 and 31,982.40 is: 47,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,351.60 : 86,027.40 = 31,982.40 : x
  2. Step 2: Convert to fraction form
    57,351.60/86,027.40 = 31,982.40/x
  3. Step 3: Cross multiply
    57,351.60x = 86,027.40 × 31,982.40
  4. Step 4: Simplify right side
    57,351.60x = 2,751,362,717.76
  5. Step 5: Solve for x
    x = 2,751,362,717.76/57,351.60
  6. Step 6: Final answer
    x = 47,973.60

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1.5x scale

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.