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Finding the Fourth Proportional to 72,961.65, 109,442.52 and 23,046.84

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Solution

The fourth proportional to 72,961.65, 109,442.52 and 23,046.84 is: 34,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,961.65 : 109,442.52 = 23,046.84 : x
  2. Step 2: Convert to fraction form
    72,961.65/109,442.52 = 23,046.84/x
  3. Step 3: Cross multiply
    72,961.65x = 109,442.52 × 23,046.84
  4. Step 4: Simplify right side
    72,961.65x = 2,522,304,247.64
  5. Step 5: Solve for x
    x = 2,522,304,247.64/72,961.65
  6. Step 6: Final answer
    x = 34,570.27

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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.