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Finding the Fourth Proportional to 40,262.32, 55,563.60 and 23,266

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Solution

The fourth proportional to 40,262.32, 55,563.60 and 23,266 is: 32,108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,262.32 : 55,563.60 = 23,266 : x
  2. Step 2: Convert to fraction form
    40,262.32/55,563.60 = 23,266/x
  3. Step 3: Cross multiply
    40,262.32x = 55,563.60 × 23,266
  4. Step 4: Simplify right side
    40,262.32x = 1,292,742,717.60
  5. Step 5: Solve for x
    x = 1,292,742,717.60/40,262.32
  6. Step 6: Final answer
    x = 32,108.00

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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.