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Finding the Fourth Proportional to 83,866, 115,735.08 and 46,139.44

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Solution

The fourth proportional to 83,866, 115,735.08 and 46,139.44 is: 63,672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,866 : 115,735.08 = 46,139.44 : x
  2. Step 2: Convert to fraction form
    83,866/115,735.08 = 46,139.44/x
  3. Step 3: Cross multiply
    83,866x = 115,735.08 × 46,139.44
  4. Step 4: Simplify right side
    83,866x = 5,339,951,779.56
  5. Step 5: Solve for x
    x = 5,339,951,779.56/83,866
  6. Step 6: Final answer
    x = 63,672.43

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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.