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Finding the Fourth Proportional to 82,308.75, 113,590.94 and 46,497.84

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Solution

The fourth proportional to 82,308.75, 113,590.94 and 46,497.84 is: 64,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,308.75 : 113,590.94 = 46,497.84 : x
  2. Step 2: Convert to fraction form
    82,308.75/113,590.94 = 46,497.84/x
  3. Step 3: Cross multiply
    82,308.75x = 113,590.94 × 46,497.84
  4. Step 4: Simplify right side
    82,308.75x = 5,281,733,121.08
  5. Step 5: Solve for x
    x = 5,281,733,121.08/82,308.75
  6. Step 6: Final answer
    x = 64,169.76

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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.