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Finding the Fourth Proportional to 40,262.94, 55,549.89 and 23,265

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Solution

The fourth proportional to 40,262.94, 55,549.89 and 23,265 is: 32,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,262.94 : 55,549.89 = 23,265 : x
  2. Step 2: Convert to fraction form
    40,262.94/55,549.89 = 23,265/x
  3. Step 3: Cross multiply
    40,262.94x = 55,549.89 × 23,265
  4. Step 4: Simplify right side
    40,262.94x = 1,292,368,190.85
  5. Step 5: Solve for x
    x = 1,292,368,190.85/40,262.94
  6. Step 6: Final answer
    x = 32,098.21

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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.