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Finding the Fourth Proportional to 85,162.22, 117,525 and 47,436.47

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Solution

The fourth proportional to 85,162.22, 117,525 and 47,436.47 is: 65,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,162.22 : 117,525 = 47,436.47 : x
  2. Step 2: Convert to fraction form
    85,162.22/117,525 = 47,436.47/x
  3. Step 3: Cross multiply
    85,162.22x = 117,525 × 47,436.47
  4. Step 4: Simplify right side
    85,162.22x = 5,574,971,136.75
  5. Step 5: Solve for x
    x = 5,574,971,136.75/85,162.22
  6. Step 6: Final answer
    x = 65,462.96

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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.