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Finding the Fourth Proportional to 76,090.88, 114,177.36 and 36,100.64

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Solution

The fourth proportional to 76,090.88, 114,177.36 and 36,100.64 is: 54,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,090.88 : 114,177.36 = 36,100.64 : x
  2. Step 2: Convert to fraction form
    76,090.88/114,177.36 = 36,100.64/x
  3. Step 3: Cross multiply
    76,090.88x = 114,177.36 × 36,100.64
  4. Step 4: Simplify right side
    76,090.88x = 4,121,875,769.51
  5. Step 5: Solve for x
    x = 4,121,875,769.51/76,090.88
  6. Step 6: Final answer
    x = 54,170.43

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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.