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Finding the Fourth Proportional to 77,083.56, 115,625.22 and 21,679.56

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Solution

The fourth proportional to 77,083.56, 115,625.22 and 21,679.56 is: 32,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,083.56 : 115,625.22 = 21,679.56 : x
  2. Step 2: Convert to fraction form
    77,083.56/115,625.22 = 21,679.56/x
  3. Step 3: Cross multiply
    77,083.56x = 115,625.22 × 21,679.56
  4. Step 4: Simplify right side
    77,083.56x = 2,506,703,894.50
  5. Step 5: Solve for x
    x = 2,506,703,894.50/77,083.56
  6. Step 6: Final answer
    x = 32,519.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.