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Finding the Fourth Proportional to 77,829.40, 107,385.06 and 43,831

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Solution

The fourth proportional to 77,829.40, 107,385.06 and 43,831 is: 60,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,829.40 : 107,385.06 = 43,831 : x
  2. Step 2: Convert to fraction form
    77,829.40/107,385.06 = 43,831/x
  3. Step 3: Cross multiply
    77,829.40x = 107,385.06 × 43,831
  4. Step 4: Simplify right side
    77,829.40x = 4,706,794,564.86
  5. Step 5: Solve for x
    x = 4,706,794,564.86/77,829.40
  6. Step 6: Final answer
    x = 60,475.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.