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Finding the Fourth Proportional to 167,624, 251,437.24 and 49,297.04

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Solution

The fourth proportional to 167,624, 251,437.24 and 49,297.04 is: 73,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,624 : 251,437.24 = 49,297.04 : x
  2. Step 2: Convert to fraction form
    167,624/251,437.24 = 49,297.04/x
  3. Step 3: Cross multiply
    167,624x = 251,437.24 × 49,297.04
  4. Step 4: Simplify right side
    167,624x = 12,395,111,677.77
  5. Step 5: Solve for x
    x = 12,395,111,677.77/167,624
  6. Step 6: Final answer
    x = 73,945.92

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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.