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Finding the Fourth Proportional to 71,477.28, 107,274.24 and 29,953.44

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Solution

The fourth proportional to 71,477.28, 107,274.24 and 29,953.44 is: 44,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,477.28 : 107,274.24 = 29,953.44 : x
  2. Step 2: Convert to fraction form
    71,477.28/107,274.24 = 29,953.44/x
  3. Step 3: Cross multiply
    71,477.28x = 107,274.24 × 29,953.44
  4. Step 4: Simplify right side
    71,477.28x = 3,213,232,511.39
  5. Step 5: Solve for x
    x = 3,213,232,511.39/71,477.28
  6. Step 6: Final answer
    x = 44,954.60

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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.