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Finding the Fourth Proportional to 29,861.64, 44,782.92 and 9,867.40

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Solution

The fourth proportional to 29,861.64, 44,782.92 and 9,867.40 is: 14,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,861.64 : 44,782.92 = 9,867.40 : x
  2. Step 2: Convert to fraction form
    29,861.64/44,782.92 = 9,867.40/x
  3. Step 3: Cross multiply
    29,861.64x = 44,782.92 × 9,867.40
  4. Step 4: Simplify right side
    29,861.64x = 441,890,984.81
  5. Step 5: Solve for x
    x = 441,890,984.81/29,861.64
  6. Step 6: Final answer
    x = 14,797.95

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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.