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Finding the Fourth Proportional to 52,180, 72,008.40 and 29,824.48

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Solution

The fourth proportional to 52,180, 72,008.40 and 29,824.48 is: 41,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,180 : 72,008.40 = 29,824.48 : x
  2. Step 2: Convert to fraction form
    52,180/72,008.40 = 29,824.48/x
  3. Step 3: Cross multiply
    52,180x = 72,008.40 × 29,824.48
  4. Step 4: Simplify right side
    52,180x = 2,147,613,085.63
  5. Step 5: Solve for x
    x = 2,147,613,085.63/52,180
  6. Step 6: Final answer
    x = 41,157.78

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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.