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Finding the Fourth Proportional to 29,861.04, 44,798.04 and 9,084

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Solution

The fourth proportional to 29,861.04, 44,798.04 and 9,084 is: 13,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,861.04 : 44,798.04 = 9,084 : x
  2. Step 2: Convert to fraction form
    29,861.04/44,798.04 = 9,084/x
  3. Step 3: Cross multiply
    29,861.04x = 44,798.04 × 9,084
  4. Step 4: Simplify right side
    29,861.04x = 406,945,395.36
  5. Step 5: Solve for x
    x = 406,945,395.36/29,861.04
  6. Step 6: Final answer
    x = 13,627.97

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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.