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Finding the Fourth Proportional to 84,343.86, 116,392.50 and 46,101.69

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Solution

The fourth proportional to 84,343.86, 116,392.50 and 46,101.69 is: 63,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,343.86 : 116,392.50 = 46,101.69 : x
  2. Step 2: Convert to fraction form
    84,343.86/116,392.50 = 46,101.69/x
  3. Step 3: Cross multiply
    84,343.86x = 116,392.50 × 46,101.69
  4. Step 4: Simplify right side
    84,343.86x = 5,365,890,953.33
  5. Step 5: Solve for x
    x = 5,365,890,953.33/84,343.86
  6. Step 6: Final answer
    x = 63,619.22

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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.