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Finding the Fourth Proportional to 29,047.20, 43,574.04 and 10,574.88

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Solution

The fourth proportional to 29,047.20, 43,574.04 and 10,574.88 is: 15,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,047.20 : 43,574.04 = 10,574.88 : x
  2. Step 2: Convert to fraction form
    29,047.20/43,574.04 = 10,574.88/x
  3. Step 3: Cross multiply
    29,047.20x = 43,574.04 × 10,574.88
  4. Step 4: Simplify right side
    29,047.20x = 460,790,244.12
  5. Step 5: Solve for x
    x = 460,790,244.12/29,047.20
  6. Step 6: Final answer
    x = 15,863.50

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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.