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Finding the Fourth Proportional to 81,817.32, 122,727.50 and 25,656.18

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Solution

The fourth proportional to 81,817.32, 122,727.50 and 25,656.18 is: 38,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,817.32 : 122,727.50 = 25,656.18 : x
  2. Step 2: Convert to fraction form
    81,817.32/122,727.50 = 25,656.18/x
  3. Step 3: Cross multiply
    81,817.32x = 122,727.50 × 25,656.18
  4. Step 4: Simplify right side
    81,817.32x = 3,148,718,830.95
  5. Step 5: Solve for x
    x = 3,148,718,830.95/81,817.32
  6. Step 6: Final answer
    x = 38,484.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.