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Finding the Fourth Proportional to 85,487.34, 117,970.20 and 47,761.59

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Solution

The fourth proportional to 85,487.34, 117,970.20 and 47,761.59 is: 65,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,487.34 : 117,970.20 = 47,761.59 : x
  2. Step 2: Convert to fraction form
    85,487.34/117,970.20 = 47,761.59/x
  3. Step 3: Cross multiply
    85,487.34x = 117,970.20 × 47,761.59
  4. Step 4: Simplify right side
    85,487.34x = 5,634,444,324.62
  5. Step 5: Solve for x
    x = 5,634,444,324.62/85,487.34
  6. Step 6: Final answer
    x = 65,909.69

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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.