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Finding the Fourth Proportional to 82,306.48, 113,582.10 and 46,496.44

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Solution

The fourth proportional to 82,306.48, 113,582.10 and 46,496.44 is: 64,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,306.48 : 113,582.10 = 46,496.44 : x
  2. Step 2: Convert to fraction form
    82,306.48/113,582.10 = 46,496.44/x
  3. Step 3: Cross multiply
    82,306.48x = 113,582.10 × 46,496.44
  4. Step 4: Simplify right side
    82,306.48x = 5,281,163,297.72
  5. Step 5: Solve for x
    x = 5,281,163,297.72/82,306.48
  6. Step 6: Final answer
    x = 64,164.61

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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.