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Finding the Fourth Proportional to 81,916.48, 122,852.80 and 50,522.08

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Solution

The fourth proportional to 81,916.48, 122,852.80 and 50,522.08 is: 75,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,916.48 : 122,852.80 = 50,522.08 : x
  2. Step 2: Convert to fraction form
    81,916.48/122,852.80 = 50,522.08/x
  3. Step 3: Cross multiply
    81,916.48x = 122,852.80 × 50,522.08
  4. Step 4: Simplify right side
    81,916.48x = 6,206,778,989.82
  5. Step 5: Solve for x
    x = 6,206,778,989.82/81,916.48
  6. Step 6: Final answer
    x = 75,769.60

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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.