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Finding the Fourth Proportional to 29,994.21, 44,978.49 and 10,274.76

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Solution

The fourth proportional to 29,994.21, 44,978.49 and 10,274.76 is: 15,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,994.21 : 44,978.49 = 10,274.76 : x
  2. Step 2: Convert to fraction form
    29,994.21/44,978.49 = 10,274.76/x
  3. Step 3: Cross multiply
    29,994.21x = 44,978.49 × 10,274.76
  4. Step 4: Simplify right side
    29,994.21x = 462,143,189.91
  5. Step 5: Solve for x
    x = 462,143,189.91/29,994.21
  6. Step 6: Final answer
    x = 15,407.75

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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.