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Finding the Fourth Proportional to 55,735.17, 83,605.50 and 22,450.74

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Solution

The fourth proportional to 55,735.17, 83,605.50 and 22,450.74 is: 33,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,735.17 : 83,605.50 = 22,450.74 : x
  2. Step 2: Convert to fraction form
    55,735.17/83,605.50 = 22,450.74/x
  3. Step 3: Cross multiply
    55,735.17x = 83,605.50 × 22,450.74
  4. Step 4: Simplify right side
    55,735.17x = 1,877,005,343.07
  5. Step 5: Solve for x
    x = 1,877,005,343.07/55,735.17
  6. Step 6: Final answer
    x = 33,677.22

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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.