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Finding the Fourth Proportional to 30,174.32, 45,195.96 and 18,452

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Solution

The fourth proportional to 30,174.32, 45,195.96 and 18,452 is: 27,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,174.32 : 45,195.96 = 18,452 : x
  2. Step 2: Convert to fraction form
    30,174.32/45,195.96 = 18,452/x
  3. Step 3: Cross multiply
    30,174.32x = 45,195.96 × 18,452
  4. Step 4: Simplify right side
    30,174.32x = 833,955,853.92
  5. Step 5: Solve for x
    x = 833,955,853.92/30,174.32
  6. Step 6: Final answer
    x = 27,637.93

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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.