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Finding the Fourth Proportional to 85,211.92, 117,597.59 and 46,971.42

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Solution

The fourth proportional to 85,211.92, 117,597.59 and 46,971.42 is: 64,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,211.92 : 117,597.59 = 46,971.42 : x
  2. Step 2: Convert to fraction form
    85,211.92/117,597.59 = 46,971.42/x
  3. Step 3: Cross multiply
    85,211.92x = 117,597.59 × 46,971.42
  4. Step 4: Simplify right side
    85,211.92x = 5,523,725,790.88
  5. Step 5: Solve for x
    x = 5,523,725,790.88/85,211.92
  6. Step 6: Final answer
    x = 64,823.39

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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.