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Finding the Fourth Proportional to 29,977.76, 44,964.48 and 9,200

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Solution

The fourth proportional to 29,977.76, 44,964.48 and 9,200 is: 13,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.76 : 44,964.48 = 9,200 : x
  2. Step 2: Convert to fraction form
    29,977.76/44,964.48 = 9,200/x
  3. Step 3: Cross multiply
    29,977.76x = 44,964.48 × 9,200
  4. Step 4: Simplify right side
    29,977.76x = 413,673,216
  5. Step 5: Solve for x
    x = 413,673,216/29,977.76
  6. Step 6: Final answer
    x = 13,799.34

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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.