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Finding the Fourth Proportional to 29,752.75, 44,629.29 and 7,566.14

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Solution

The fourth proportional to 29,752.75, 44,629.29 and 7,566.14 is: 11,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,752.75 : 44,629.29 = 7,566.14 : x
  2. Step 2: Convert to fraction form
    29,752.75/44,629.29 = 7,566.14/x
  3. Step 3: Cross multiply
    29,752.75x = 44,629.29 × 7,566.14
  4. Step 4: Simplify right side
    29,752.75x = 337,671,456.24
  5. Step 5: Solve for x
    x = 337,671,456.24/29,752.75
  6. Step 6: Final answer
    x = 11,349.25

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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.