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Finding the Fourth Proportional to 89,281.36, 133,918.20 and 26,950

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Solution

The fourth proportional to 89,281.36, 133,918.20 and 26,950 is: 40,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,281.36 : 133,918.20 = 26,950 : x
  2. Step 2: Convert to fraction form
    89,281.36/133,918.20 = 26,950/x
  3. Step 3: Cross multiply
    89,281.36x = 133,918.20 × 26,950
  4. Step 4: Simplify right side
    89,281.36x = 3,609,095,490.00
  5. Step 5: Solve for x
    x = 3,609,095,490.00/89,281.36
  6. Step 6: Final answer
    x = 40,423.84

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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.