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Finding the Fourth Proportional to 85,511.34, 117,992.43 and 47,778.30

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Solution

The fourth proportional to 85,511.34, 117,992.43 and 47,778.30 is: 65,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,511.34 : 117,992.43 = 47,778.30 : x
  2. Step 2: Convert to fraction form
    85,511.34/117,992.43 = 47,778.30/x
  3. Step 3: Cross multiply
    85,511.34x = 117,992.43 × 47,778.30
  4. Step 4: Simplify right side
    85,511.34x = 5,637,477,718.27
  5. Step 5: Solve for x
    x = 5,637,477,718.27/85,511.34
  6. Step 6: Final answer
    x = 65,926.67

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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.