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Finding the Fourth Proportional to 76,679.38, 105,822.68 and 46,467.68

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Solution

The fourth proportional to 76,679.38, 105,822.68 and 46,467.68 is: 64,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,679.38 : 105,822.68 = 46,467.68 : x
  2. Step 2: Convert to fraction form
    76,679.38/105,822.68 = 46,467.68/x
  3. Step 3: Cross multiply
    76,679.38x = 105,822.68 × 46,467.68
  4. Step 4: Simplify right side
    76,679.38x = 4,917,333,800.22
  5. Step 5: Solve for x
    x = 4,917,333,800.22/76,679.38
  6. Step 6: Final answer
    x = 64,128.50

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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.