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Finding the Fourth Proportional to 82,423.44, 113,749.97 and 46,613.43

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Solution

The fourth proportional to 82,423.44, 113,749.97 and 46,613.43 is: 64,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,423.44 : 113,749.97 = 46,613.43 : x
  2. Step 2: Convert to fraction form
    82,423.44/113,749.97 = 46,613.43/x
  3. Step 3: Cross multiply
    82,423.44x = 113,749.97 × 46,613.43
  4. Step 4: Simplify right side
    82,423.44x = 5,302,276,031.03
  5. Step 5: Solve for x
    x = 5,302,276,031.03/82,423.44
  6. Step 6: Final answer
    x = 64,329.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.