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Finding the Fourth Proportional to 83,793.98, 115,637.75 and 46,068.30

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Solution

The fourth proportional to 83,793.98, 115,637.75 and 46,068.30 is: 63,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,793.98 : 115,637.75 = 46,068.30 : x
  2. Step 2: Convert to fraction form
    83,793.98/115,637.75 = 46,068.30/x
  3. Step 3: Cross multiply
    83,793.98x = 115,637.75 × 46,068.30
  4. Step 4: Simplify right side
    83,793.98x = 5,327,234,558.33
  5. Step 5: Solve for x
    x = 5,327,234,558.33/83,793.98
  6. Step 6: Final answer
    x = 63,575.39

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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.