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Finding the Fourth Proportional to 85,685.43, 118,245.83 and 47,959.68

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Solution

The fourth proportional to 85,685.43, 118,245.83 and 47,959.68 is: 66,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,685.43 : 118,245.83 = 47,959.68 : x
  2. Step 2: Convert to fraction form
    85,685.43/118,245.83 = 47,959.68/x
  3. Step 3: Cross multiply
    85,685.43x = 118,245.83 × 47,959.68
  4. Step 4: Simplify right side
    85,685.43x = 5,671,031,928.34
  5. Step 5: Solve for x
    x = 5,671,031,928.34/85,685.43
  6. Step 6: Final answer
    x = 66,184.32

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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.