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Finding the Fourth Proportional to 29,930.67, 44,892.36 and 7,742.21

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Solution

The fourth proportional to 29,930.67, 44,892.36 and 7,742.21 is: 11,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,930.67 : 44,892.36 = 7,742.21 : x
  2. Step 2: Convert to fraction form
    29,930.67/44,892.36 = 7,742.21/x
  3. Step 3: Cross multiply
    29,930.67x = 44,892.36 × 7,742.21
  4. Step 4: Simplify right side
    29,930.67x = 347,565,854.05
  5. Step 5: Solve for x
    x = 347,565,854.05/29,930.67
  6. Step 6: Final answer
    x = 11,612.36

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1.5x scale

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.