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Finding the Fourth Proportional to 76,046.62, 104,947.77 and 42,512.62

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Solution

The fourth proportional to 76,046.62, 104,947.77 and 42,512.62 is: 58,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,046.62 : 104,947.77 = 42,512.62 : x
  2. Step 2: Convert to fraction form
    76,046.62/104,947.77 = 42,512.62/x
  3. Step 3: Cross multiply
    76,046.62x = 104,947.77 × 42,512.62
  4. Step 4: Simplify right side
    76,046.62x = 4,461,604,665.86
  5. Step 5: Solve for x
    x = 4,461,604,665.86/76,046.62
  6. Step 6: Final answer
    x = 58,669.34

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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.