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Finding the Fourth Proportional to 83,794.86, 115,633.98 and 46,068.84

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Solution

The fourth proportional to 83,794.86, 115,633.98 and 46,068.84 is: 63,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,794.86 : 115,633.98 = 46,068.84 : x
  2. Step 2: Convert to fraction form
    83,794.86/115,633.98 = 46,068.84/x
  3. Step 3: Cross multiply
    83,794.86x = 115,633.98 × 46,068.84
  4. Step 4: Simplify right side
    83,794.86x = 5,327,123,323.18
  5. Step 5: Solve for x
    x = 5,327,123,323.18/83,794.86
  6. Step 6: Final answer
    x = 63,573.39

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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.