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Finding the Fourth Proportional to 104,694.12, 144,478.89 and 56,947.86

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Solution

The fourth proportional to 104,694.12, 144,478.89 and 56,947.86 is: 78,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,694.12 : 144,478.89 = 56,947.86 : x
  2. Step 2: Convert to fraction form
    104,694.12/144,478.89 = 56,947.86/x
  3. Step 3: Cross multiply
    104,694.12x = 144,478.89 × 56,947.86
  4. Step 4: Simplify right side
    104,694.12x = 8,227,763,600.68
  5. Step 5: Solve for x
    x = 8,227,763,600.68/104,694.12
  6. Step 6: Final answer
    x = 78,588.59

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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.