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Finding the Fourth Proportional to 76,285, 114,454.38 and 34,161.64

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Solution

The fourth proportional to 76,285, 114,454.38 and 34,161.64 is: 51,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,285 : 114,454.38 = 34,161.64 : x
  2. Step 2: Convert to fraction form
    76,285/114,454.38 = 34,161.64/x
  3. Step 3: Cross multiply
    76,285x = 114,454.38 × 34,161.64
  4. Step 4: Simplify right side
    76,285x = 3,909,949,325.98
  5. Step 5: Solve for x
    x = 3,909,949,325.98/76,285
  6. Step 6: Final answer
    x = 51,254.50

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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.