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Finding the Fourth Proportional to 89,723, 134,584.50 and 24,059

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Solution

The fourth proportional to 89,723, 134,584.50 and 24,059 is: 36,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,723 : 134,584.50 = 24,059 : x
  2. Step 2: Convert to fraction form
    89,723/134,584.50 = 24,059/x
  3. Step 3: Cross multiply
    89,723x = 134,584.50 × 24,059
  4. Step 4: Simplify right side
    89,723x = 3,237,968,485.50
  5. Step 5: Solve for x
    x = 3,237,968,485.50/89,723
  6. Step 6: Final answer
    x = 36,088.50

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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.