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Finding the Fourth Proportional to 83,992.57, 115,909.75 and 46,266.82

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Solution

The fourth proportional to 83,992.57, 115,909.75 and 46,266.82 is: 63,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,992.57 : 115,909.75 = 46,266.82 : x
  2. Step 2: Convert to fraction form
    83,992.57/115,909.75 = 46,266.82/x
  3. Step 3: Cross multiply
    83,992.57x = 115,909.75 × 46,266.82
  4. Step 4: Simplify right side
    83,992.57x = 5,362,775,539.50
  5. Step 5: Solve for x
    x = 5,362,775,539.50/83,992.57
  6. Step 6: Final answer
    x = 63,848.21

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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.