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Finding the Fourth Proportional to 76,018.40, 114,027.60 and 34,546.40

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Solution

The fourth proportional to 76,018.40, 114,027.60 and 34,546.40 is: 51,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,018.40 : 114,027.60 = 34,546.40 : x
  2. Step 2: Convert to fraction form
    76,018.40/114,027.60 = 34,546.40/x
  3. Step 3: Cross multiply
    76,018.40x = 114,027.60 × 34,546.40
  4. Step 4: Simplify right side
    76,018.40x = 3,939,243,080.64
  5. Step 5: Solve for x
    x = 3,939,243,080.64/76,018.40
  6. Step 6: Final answer
    x = 51,819.60

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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.