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Finding the Fourth Proportional to 77,806.20, 116,612.10 and 57,005.40

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Solution

The fourth proportional to 77,806.20, 116,612.10 and 57,005.40 is: 85,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,806.20 : 116,612.10 = 57,005.40 : x
  2. Step 2: Convert to fraction form
    77,806.20/116,612.10 = 57,005.40/x
  3. Step 3: Cross multiply
    77,806.20x = 116,612.10 × 57,005.40
  4. Step 4: Simplify right side
    77,806.20x = 6,647,519,405.34
  5. Step 5: Solve for x
    x = 6,647,519,405.34/77,806.20
  6. Step 6: Final answer
    x = 85,436.89

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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.