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Finding the Fourth Proportional to 72,960.72, 109,441.14 and 23,045.88

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Solution

The fourth proportional to 72,960.72, 109,441.14 and 23,045.88 is: 34,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,960.72 : 109,441.14 = 23,045.88 : x
  2. Step 2: Convert to fraction form
    72,960.72/109,441.14 = 23,045.88/x
  3. Step 3: Cross multiply
    72,960.72x = 109,441.14 × 23,045.88
  4. Step 4: Simplify right side
    72,960.72x = 2,522,167,379.50
  5. Step 5: Solve for x
    x = 2,522,167,379.50/72,960.72
  6. Step 6: Final answer
    x = 34,568.84

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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.