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Finding the Fourth Proportional to 76,374.88, 114,516.30 and 34,247.34

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Solution

The fourth proportional to 76,374.88, 114,516.30 and 34,247.34 is: 51,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,374.88 : 114,516.30 = 34,247.34 : x
  2. Step 2: Convert to fraction form
    76,374.88/114,516.30 = 34,247.34/x
  3. Step 3: Cross multiply
    76,374.88x = 114,516.30 × 34,247.34
  4. Step 4: Simplify right side
    76,374.88x = 3,921,878,661.64
  5. Step 5: Solve for x
    x = 3,921,878,661.64/76,374.88
  6. Step 6: Final answer
    x = 51,350.37

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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.