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Finding the Fourth Proportional to 104,772.96, 144,582.17 and 57,026.70

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Solution

The fourth proportional to 104,772.96, 144,582.17 and 57,026.70 is: 78,694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,772.96 : 144,582.17 = 57,026.70 : x
  2. Step 2: Convert to fraction form
    104,772.96/144,582.17 = 57,026.70/x
  3. Step 3: Cross multiply
    104,772.96x = 144,582.17 × 57,026.70
  4. Step 4: Simplify right side
    104,772.96x = 8,245,043,748.81
  5. Step 5: Solve for x
    x = 8,245,043,748.81/104,772.96
  6. Step 6: Final answer
    x = 78,694.39

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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.