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Finding the Fourth Proportional to 81,925.30, 122,961.18 and 41,971.50

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Solution

The fourth proportional to 81,925.30, 122,961.18 and 41,971.50 is: 62,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,925.30 : 122,961.18 = 41,971.50 : x
  2. Step 2: Convert to fraction form
    81,925.30/122,961.18 = 41,971.50/x
  3. Step 3: Cross multiply
    81,925.30x = 122,961.18 × 41,971.50
  4. Step 4: Simplify right side
    81,925.30x = 5,160,865,049.14
  5. Step 5: Solve for x
    x = 5,160,865,049.14/81,925.30
  6. Step 6: Final answer
    x = 62,994.77

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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.