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Finding the Fourth Proportional to 127,662.24, 191,502 and 34,177.44

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Solution

The fourth proportional to 127,662.24, 191,502 and 34,177.44 is: 51,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,662.24 : 191,502 = 34,177.44 : x
  2. Step 2: Convert to fraction form
    127,662.24/191,502 = 34,177.44/x
  3. Step 3: Cross multiply
    127,662.24x = 191,502 × 34,177.44
  4. Step 4: Simplify right side
    127,662.24x = 6,545,048,114.88
  5. Step 5: Solve for x
    x = 6,545,048,114.88/127,662.24
  6. Step 6: Final answer
    x = 51,268.47

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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.