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Finding the Fourth Proportional to 77,773.10, 116,676.67 and 25,187.90

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Solution

The fourth proportional to 77,773.10, 116,676.67 and 25,187.90 is: 37,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,773.10 : 116,676.67 = 25,187.90 : x
  2. Step 2: Convert to fraction form
    77,773.10/116,676.67 = 25,187.90/x
  3. Step 3: Cross multiply
    77,773.10x = 116,676.67 × 25,187.90
  4. Step 4: Simplify right side
    77,773.10x = 2,938,840,525.01
  5. Step 5: Solve for x
    x = 2,938,840,525.01/77,773.10
  6. Step 6: Final answer
    x = 37,787.36

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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.