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Finding the Fourth Proportional to 76,304.60, 114,474.30 and 23,719.40

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Solution

The fourth proportional to 76,304.60, 114,474.30 and 23,719.40 is: 35,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,304.60 : 114,474.30 = 23,719.40 : x
  2. Step 2: Convert to fraction form
    76,304.60/114,474.30 = 23,719.40/x
  3. Step 3: Cross multiply
    76,304.60x = 114,474.30 × 23,719.40
  4. Step 4: Simplify right side
    76,304.60x = 2,715,261,711.42
  5. Step 5: Solve for x
    x = 2,715,261,711.42/76,304.60
  6. Step 6: Final answer
    x = 35,584.51

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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.