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Finding the Fourth Proportional to 29,748.64, 44,605.14 and 9,476.65

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Solution

The fourth proportional to 29,748.64, 44,605.14 and 9,476.65 is: 14,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,748.64 : 44,605.14 = 9,476.65 : x
  2. Step 2: Convert to fraction form
    29,748.64/44,605.14 = 9,476.65/x
  3. Step 3: Cross multiply
    29,748.64x = 44,605.14 × 9,476.65
  4. Step 4: Simplify right side
    29,748.64x = 422,707,299.98
  5. Step 5: Solve for x
    x = 422,707,299.98/29,748.64
  6. Step 6: Final answer
    x = 14,209.30

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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.