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Finding the Fourth Proportional to 29,664.84, 44,493.95 and 7,478.21

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Solution

The fourth proportional to 29,664.84, 44,493.95 and 7,478.21 is: 11,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,664.84 : 44,493.95 = 7,478.21 : x
  2. Step 2: Convert to fraction form
    29,664.84/44,493.95 = 7,478.21/x
  3. Step 3: Cross multiply
    29,664.84x = 44,493.95 × 7,478.21
  4. Step 4: Simplify right side
    29,664.84x = 332,734,841.97
  5. Step 5: Solve for x
    x = 332,734,841.97/29,664.84
  6. Step 6: Final answer
    x = 11,216.47

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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.