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Finding the Fourth Proportional to 41,133.72, 56,765.10 and 23,229

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Solution

The fourth proportional to 41,133.72, 56,765.10 and 23,229 is: 32,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,133.72 : 56,765.10 = 23,229 : x
  2. Step 2: Convert to fraction form
    41,133.72/56,765.10 = 23,229/x
  3. Step 3: Cross multiply
    41,133.72x = 56,765.10 × 23,229
  4. Step 4: Simplify right side
    41,133.72x = 1,318,596,507.90
  5. Step 5: Solve for x
    x = 1,318,596,507.90/41,133.72
  6. Step 6: Final answer
    x = 32,056.34

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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.