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Finding the Fourth Proportional to 84,234, 116,104.32 and 59,712.96

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Solution

The fourth proportional to 84,234, 116,104.32 and 59,712.96 is: 82,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,234 : 116,104.32 = 59,712.96 : x
  2. Step 2: Convert to fraction form
    84,234/116,104.32 = 59,712.96/x
  3. Step 3: Cross multiply
    84,234x = 116,104.32 × 59,712.96
  4. Step 4: Simplify right side
    84,234x = 6,932,932,615.99
  5. Step 5: Solve for x
    x = 6,932,932,615.99/84,234
  6. Step 6: Final answer
    x = 82,305.63

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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.