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Finding the Fourth Proportional to 29,580, 40,820.40 and 20,165.04

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Solution

The fourth proportional to 29,580, 40,820.40 and 20,165.04 is: 27,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,580 : 40,820.40 = 20,165.04 : x
  2. Step 2: Convert to fraction form
    29,580/40,820.40 = 20,165.04/x
  3. Step 3: Cross multiply
    29,580x = 40,820.40 × 20,165.04
  4. Step 4: Simplify right side
    29,580x = 823,144,998.82
  5. Step 5: Solve for x
    x = 823,144,998.82/29,580
  6. Step 6: Final answer
    x = 27,827.76

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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.