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Finding the Fourth Proportional to 29,977.20, 44,965.80 and 9,200.70

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Solution

The fourth proportional to 29,977.20, 44,965.80 and 9,200.70 is: 13,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.20 : 44,965.80 = 9,200.70 : x
  2. Step 2: Convert to fraction form
    29,977.20/44,965.80 = 9,200.70/x
  3. Step 3: Cross multiply
    29,977.20x = 44,965.80 × 9,200.70
  4. Step 4: Simplify right side
    29,977.20x = 413,716,836.06
  5. Step 5: Solve for x
    x = 413,716,836.06/29,977.20
  6. Step 6: Final answer
    x = 13,801.05

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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.