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Finding the Fourth Proportional to 29,777.40, 44,593.20 and 14,176.80

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Solution

The fourth proportional to 29,777.40, 44,593.20 and 14,176.80 is: 21,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,777.40 : 44,593.20 = 14,176.80 : x
  2. Step 2: Convert to fraction form
    29,777.40/44,593.20 = 14,176.80/x
  3. Step 3: Cross multiply
    29,777.40x = 44,593.20 × 14,176.80
  4. Step 4: Simplify right side
    29,777.40x = 632,188,877.76
  5. Step 5: Solve for x
    x = 632,188,877.76/29,777.40
  6. Step 6: Final answer
    x = 21,230.49

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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.