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Finding the Fourth Proportional to 40,206.54, 55,485.36 and 22,302.71

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Solution

The fourth proportional to 40,206.54, 55,485.36 and 22,302.71 is: 30,777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,206.54 : 55,485.36 = 22,302.71 : x
  2. Step 2: Convert to fraction form
    40,206.54/55,485.36 = 22,302.71/x
  3. Step 3: Cross multiply
    40,206.54x = 55,485.36 × 22,302.71
  4. Step 4: Simplify right side
    40,206.54x = 1,237,473,615.90
  5. Step 5: Solve for x
    x = 1,237,473,615.90/40,206.54
  6. Step 6: Final answer
    x = 30,777.92

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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.