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Finding the Fourth Proportional to 77,393.27, 116,090.31 and 35,243.96

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Solution

The fourth proportional to 77,393.27, 116,090.31 and 35,243.96 is: 52,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,393.27 : 116,090.31 = 35,243.96 : x
  2. Step 2: Convert to fraction form
    77,393.27/116,090.31 = 35,243.96/x
  3. Step 3: Cross multiply
    77,393.27x = 116,090.31 × 35,243.96
  4. Step 4: Simplify right side
    77,393.27x = 4,091,482,446.75
  5. Step 5: Solve for x
    x = 4,091,482,446.75/77,393.27
  6. Step 6: Final answer
    x = 52,866.13

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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.