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Finding the Fourth Proportional to 83,769.63, 115,602.08 and 46,043.88

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Solution

The fourth proportional to 83,769.63, 115,602.08 and 46,043.88 is: 63,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,769.63 : 115,602.08 = 46,043.88 : x
  2. Step 2: Convert to fraction form
    83,769.63/115,602.08 = 46,043.88/x
  3. Step 3: Cross multiply
    83,769.63x = 115,602.08 × 46,043.88
  4. Step 4: Simplify right side
    83,769.63x = 5,322,768,299.27
  5. Step 5: Solve for x
    x = 5,322,768,299.27/83,769.63
  6. Step 6: Final answer
    x = 63,540.55

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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.