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Finding the Fourth Proportional to 51,238.40, 76,857.60 and 32,009.60

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Solution

The fourth proportional to 51,238.40, 76,857.60 and 32,009.60 is: 48,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,238.40 : 76,857.60 = 32,009.60 : x
  2. Step 2: Convert to fraction form
    51,238.40/76,857.60 = 32,009.60/x
  3. Step 3: Cross multiply
    51,238.40x = 76,857.60 × 32,009.60
  4. Step 4: Simplify right side
    51,238.40x = 2,460,181,032.96
  5. Step 5: Solve for x
    x = 2,460,181,032.96/51,238.40
  6. Step 6: Final answer
    x = 48,014.40

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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.