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Finding the Fourth Proportional to 77,442.66, 116,153.01 and 24,845.31

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Solution

The fourth proportional to 77,442.66, 116,153.01 and 24,845.31 is: 37,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,442.66 : 116,153.01 = 24,845.31 : x
  2. Step 2: Convert to fraction form
    77,442.66/116,153.01 = 24,845.31/x
  3. Step 3: Cross multiply
    77,442.66x = 116,153.01 × 24,845.31
  4. Step 4: Simplify right side
    77,442.66x = 2,885,857,540.88
  5. Step 5: Solve for x
    x = 2,885,857,540.88/77,442.66
  6. Step 6: Final answer
    x = 37,264.44

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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.