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Finding the Fourth Proportional to 81,577.96, 112,367.82 and 57,663.52

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Solution

The fourth proportional to 81,577.96, 112,367.82 and 57,663.52 is: 79,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,577.96 : 112,367.82 = 57,663.52 : x
  2. Step 2: Convert to fraction form
    81,577.96/112,367.82 = 57,663.52/x
  3. Step 3: Cross multiply
    81,577.96x = 112,367.82 × 57,663.52
  4. Step 4: Simplify right side
    81,577.96x = 6,479,523,971.25
  5. Step 5: Solve for x
    x = 6,479,523,971.25/81,577.96
  6. Step 6: Final answer
    x = 79,427.39

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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.