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Finding the Fourth Proportional to 82,403.28, 113,721.03 and 46,596.42

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Solution

The fourth proportional to 82,403.28, 113,721.03 and 46,596.42 is: 64,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,403.28 : 113,721.03 = 46,596.42 : x
  2. Step 2: Convert to fraction form
    82,403.28/113,721.03 = 46,596.42/x
  3. Step 3: Cross multiply
    82,403.28x = 113,721.03 × 46,596.42
  4. Step 4: Simplify right side
    82,403.28x = 5,298,992,876.71
  5. Step 5: Solve for x
    x = 5,298,992,876.71/82,403.28
  6. Step 6: Final answer
    x = 64,305.61

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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.