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Finding the Fourth Proportional to 82,414.02, 113,734.08 and 46,609.86

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Solution

The fourth proportional to 82,414.02, 113,734.08 and 46,609.86 is: 64,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,414.02 : 113,734.08 = 46,609.86 : x
  2. Step 2: Convert to fraction form
    82,414.02/113,734.08 = 46,609.86/x
  3. Step 3: Cross multiply
    82,414.02x = 113,734.08 × 46,609.86
  4. Step 4: Simplify right side
    82,414.02x = 5,301,129,546.03
  5. Step 5: Solve for x
    x = 5,301,129,546.03/82,414.02
  6. Step 6: Final answer
    x = 64,323.15

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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.