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Finding the Fourth Proportional to 77,171.49, 115,779.12 and 24,585.03

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Solution

The fourth proportional to 77,171.49, 115,779.12 and 24,585.03 is: 36,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,171.49 : 115,779.12 = 24,585.03 : x
  2. Step 2: Convert to fraction form
    77,171.49/115,779.12 = 24,585.03/x
  3. Step 3: Cross multiply
    77,171.49x = 115,779.12 × 24,585.03
  4. Step 4: Simplify right side
    77,171.49x = 2,846,433,138.57
  5. Step 5: Solve for x
    x = 2,846,433,138.57/77,171.49
  6. Step 6: Final answer
    x = 36,884.52

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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.