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Finding the Fourth Proportional to 76,319.82, 105,373.31 and 47,650.68

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Solution

The fourth proportional to 76,319.82, 105,373.31 and 47,650.68 is: 65,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,319.82 : 105,373.31 = 47,650.68 : x
  2. Step 2: Convert to fraction form
    76,319.82/105,373.31 = 47,650.68/x
  3. Step 3: Cross multiply
    76,319.82x = 105,373.31 × 47,650.68
  4. Step 4: Simplify right side
    76,319.82x = 5,021,109,637.10
  5. Step 5: Solve for x
    x = 5,021,109,637.10/76,319.82
  6. Step 6: Final answer
    x = 65,790.38

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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.