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Finding the Fourth Proportional to 29,461.92, 44,193.44 and 9,742.20

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Solution

The fourth proportional to 29,461.92, 44,193.44 and 9,742.20 is: 14,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461.92 : 44,193.44 = 9,742.20 : x
  2. Step 2: Convert to fraction form
    29,461.92/44,193.44 = 9,742.20/x
  3. Step 3: Cross multiply
    29,461.92x = 44,193.44 × 9,742.20
  4. Step 4: Simplify right side
    29,461.92x = 430,541,331.17
  5. Step 5: Solve for x
    x = 430,541,331.17/29,461.92
  6. Step 6: Final answer
    x = 14,613.49

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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.