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Finding the Fourth Proportional to 96,842, 133,649.26 and 59,123.54

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Solution

The fourth proportional to 96,842, 133,649.26 and 59,123.54 is: 81,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,842 : 133,649.26 = 59,123.54 : x
  2. Step 2: Convert to fraction form
    96,842/133,649.26 = 59,123.54/x
  3. Step 3: Cross multiply
    96,842x = 133,649.26 × 59,123.54
  4. Step 4: Simplify right side
    96,842x = 7,901,817,369.58
  5. Step 5: Solve for x
    x = 7,901,817,369.58/96,842
  6. Step 6: Final answer
    x = 81,594.94

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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.