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Finding the Fourth Proportional to 29,752.28, 44,627.68 and 7,263.12

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Solution

The fourth proportional to 29,752.28, 44,627.68 and 7,263.12 is: 10,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,752.28 : 44,627.68 = 7,263.12 : x
  2. Step 2: Convert to fraction form
    29,752.28/44,627.68 = 7,263.12/x
  3. Step 3: Cross multiply
    29,752.28x = 44,627.68 × 7,263.12
  4. Step 4: Simplify right side
    29,752.28x = 324,136,195.16
  5. Step 5: Solve for x
    x = 324,136,195.16/29,752.28
  6. Step 6: Final answer
    x = 10,894.50

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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.