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Finding the Fourth Proportional to 29,743.14, 44,614.98 and 9,752.34

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Solution

The fourth proportional to 29,743.14, 44,614.98 and 9,752.34 is: 14,628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,743.14 : 44,614.98 = 9,752.34 : x
  2. Step 2: Convert to fraction form
    29,743.14/44,614.98 = 9,752.34/x
  3. Step 3: Cross multiply
    29,743.14x = 44,614.98 × 9,752.34
  4. Step 4: Simplify right side
    29,743.14x = 435,100,454.05
  5. Step 5: Solve for x
    x = 435,100,454.05/29,743.14
  6. Step 6: Final answer
    x = 14,628.60

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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.