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Finding the Fourth Proportional to 23,153.50, 34,730.22 and 5,623.30

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Solution

The fourth proportional to 23,153.50, 34,730.22 and 5,623.30 is: 8,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153.50 : 34,730.22 = 5,623.30 : x
  2. Step 2: Convert to fraction form
    23,153.50/34,730.22 = 5,623.30/x
  3. Step 3: Cross multiply
    23,153.50x = 34,730.22 × 5,623.30
  4. Step 4: Simplify right side
    23,153.50x = 195,298,446.13
  5. Step 5: Solve for x
    x = 195,298,446.13/23,153.50
  6. Step 6: Final answer
    x = 8,434.94

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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.