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Finding the Fourth Proportional to 37,692, 52,016.40 and 20,924.64

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Solution

The fourth proportional to 37,692, 52,016.40 and 20,924.64 is: 28,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,692 : 52,016.40 = 20,924.64 : x
  2. Step 2: Convert to fraction form
    37,692/52,016.40 = 20,924.64/x
  3. Step 3: Cross multiply
    37,692x = 52,016.40 × 20,924.64
  4. Step 4: Simplify right side
    37,692x = 1,088,424,444.10
  5. Step 5: Solve for x
    x = 1,088,424,444.10/37,692
  6. Step 6: Final answer
    x = 28,876.80

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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.