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Finding the Fourth Proportional to 85,885.47, 118,517.76 and 47,646.54

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Solution

The fourth proportional to 85,885.47, 118,517.76 and 47,646.54 is: 65,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,885.47 : 118,517.76 = 47,646.54 : x
  2. Step 2: Convert to fraction form
    85,885.47/118,517.76 = 47,646.54/x
  3. Step 3: Cross multiply
    85,885.47x = 118,517.76 × 47,646.54
  4. Step 4: Simplify right side
    85,885.47x = 5,646,961,192.55
  5. Step 5: Solve for x
    x = 5,646,961,192.55/85,885.47
  6. Step 6: Final answer
    x = 65,749.90

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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.