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Finding the Fourth Proportional to 29,423.50, 44,135.25 and 8,647

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Solution

The fourth proportional to 29,423.50, 44,135.25 and 8,647 is: 12,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,423.50 : 44,135.25 = 8,647 : x
  2. Step 2: Convert to fraction form
    29,423.50/44,135.25 = 8,647/x
  3. Step 3: Cross multiply
    29,423.50x = 44,135.25 × 8,647
  4. Step 4: Simplify right side
    29,423.50x = 381,637,506.75
  5. Step 5: Solve for x
    x = 381,637,506.75/29,423.50
  6. Step 6: Final answer
    x = 12,970.50

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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.