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Finding the Fourth Proportional to 77,475.60, 116,213.40 and 51,231.60

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Solution

The fourth proportional to 77,475.60, 116,213.40 and 51,231.60 is: 76,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,475.60 : 116,213.40 = 51,231.60 : x
  2. Step 2: Convert to fraction form
    77,475.60/116,213.40 = 51,231.60/x
  3. Step 3: Cross multiply
    77,475.60x = 116,213.40 × 51,231.60
  4. Step 4: Simplify right side
    77,475.60x = 5,953,798,423.44
  5. Step 5: Solve for x
    x = 5,953,798,423.44/77,475.60
  6. Step 6: Final answer
    x = 76,847.40

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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.