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Finding the Fourth Proportional to 29,978.24, 44,976.35 and 14,195.30

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Solution

The fourth proportional to 29,978.24, 44,976.35 and 14,195.30 is: 21,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.24 : 44,976.35 = 14,195.30 : x
  2. Step 2: Convert to fraction form
    29,978.24/44,976.35 = 14,195.30/x
  3. Step 3: Cross multiply
    29,978.24x = 44,976.35 × 14,195.30
  4. Step 4: Simplify right side
    29,978.24x = 638,452,591.76
  5. Step 5: Solve for x
    x = 638,452,591.76/29,978.24
  6. Step 6: Final answer
    x = 21,297.20

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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.