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Finding the Fourth Proportional to 29,747.50, 44,623.08 and 8,971

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Solution

The fourth proportional to 29,747.50, 44,623.08 and 8,971 is: 13,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,747.50 : 44,623.08 = 8,971 : x
  2. Step 2: Convert to fraction form
    29,747.50/44,623.08 = 8,971/x
  3. Step 3: Cross multiply
    29,747.50x = 44,623.08 × 8,971
  4. Step 4: Simplify right side
    29,747.50x = 400,313,605.83
  5. Step 5: Solve for x
    x = 400,313,605.83/29,747.50
  6. Step 6: Final answer
    x = 13,457.05

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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.