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Finding the Fourth Proportional to 76,207.31, 114,322.11 and 36,731.96

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Solution

The fourth proportional to 76,207.31, 114,322.11 and 36,731.96 is: 55,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,207.31 : 114,322.11 = 36,731.96 : x
  2. Step 2: Convert to fraction form
    76,207.31/114,322.11 = 36,731.96/x
  3. Step 3: Cross multiply
    76,207.31x = 114,322.11 × 36,731.96
  4. Step 4: Simplify right side
    76,207.31x = 4,199,275,637.36
  5. Step 5: Solve for x
    x = 4,199,275,637.36/76,207.31
  6. Step 6: Final answer
    x = 55,103.31

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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.