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Finding the Fourth Proportional to 91,771.22, 137,656.50 and 51,772.06

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Solution

The fourth proportional to 91,771.22, 137,656.50 and 51,772.06 is: 77,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,771.22 : 137,656.50 = 51,772.06 : x
  2. Step 2: Convert to fraction form
    91,771.22/137,656.50 = 51,772.06/x
  3. Step 3: Cross multiply
    91,771.22x = 137,656.50 × 51,772.06
  4. Step 4: Simplify right side
    91,771.22x = 7,126,760,233.25
  5. Step 5: Solve for x
    x = 7,126,760,233.25/91,771.22
  6. Step 6: Final answer
    x = 77,657.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.