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Finding the Fourth Proportional to 110,578.92, 165,852.05 and 54,403.94

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Solution

The fourth proportional to 110,578.92, 165,852.05 and 54,403.94 is: 81,597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,578.92 : 165,852.05 = 54,403.94 : x
  2. Step 2: Convert to fraction form
    110,578.92/165,852.05 = 54,403.94/x
  3. Step 3: Cross multiply
    110,578.92x = 165,852.05 × 54,403.94
  4. Step 4: Simplify right side
    110,578.92x = 9,023,003,875.80
  5. Step 5: Solve for x
    x = 9,023,003,875.80/110,578.92
  6. Step 6: Final answer
    x = 81,597.87

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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.