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Finding the Fourth Proportional to 81,902.64, 122,827.84 and 31,970.60

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Solution

The fourth proportional to 81,902.64, 122,827.84 and 31,970.60 is: 47,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,902.64 : 122,827.84 = 31,970.60 : x
  2. Step 2: Convert to fraction form
    81,902.64/122,827.84 = 31,970.60/x
  3. Step 3: Cross multiply
    81,902.64x = 122,827.84 × 31,970.60
  4. Step 4: Simplify right side
    81,902.64x = 3,926,879,741.50
  5. Step 5: Solve for x
    x = 3,926,879,741.50/81,902.64
  6. Step 6: Final answer
    x = 47,945.70

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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.