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Finding the Fourth Proportional to 77,115.56, 115,673.34 and 24,525.04

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Solution

The fourth proportional to 77,115.56, 115,673.34 and 24,525.04 is: 36,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,115.56 : 115,673.34 = 24,525.04 : x
  2. Step 2: Convert to fraction form
    77,115.56/115,673.34 = 24,525.04/x
  3. Step 3: Cross multiply
    77,115.56x = 115,673.34 × 24,525.04
  4. Step 4: Simplify right side
    77,115.56x = 2,836,893,290.43
  5. Step 5: Solve for x
    x = 2,836,893,290.43/77,115.56
  6. Step 6: Final answer
    x = 36,787.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.