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Finding the Fourth Proportional to 167,782.78, 251,598.84 and 49,412.62

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Solution

The fourth proportional to 167,782.78, 251,598.84 and 49,412.62 is: 74,096.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,782.78 : 251,598.84 = 49,412.62 : x
  2. Step 2: Convert to fraction form
    167,782.78/251,598.84 = 49,412.62/x
  3. Step 3: Cross multiply
    167,782.78x = 251,598.84 × 49,412.62
  4. Step 4: Simplify right side
    167,782.78x = 12,432,157,873.36
  5. Step 5: Solve for x
    x = 12,432,157,873.36/167,782.78
  6. Step 6: Final answer
    x = 74,096.75

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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.