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Finding the Fourth Proportional to 29,691.69, 44,539.06 and 7,505.25

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Solution

The fourth proportional to 29,691.69, 44,539.06 and 7,505.25 is: 11,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691.69 : 44,539.06 = 7,505.25 : x
  2. Step 2: Convert to fraction form
    29,691.69/44,539.06 = 7,505.25/x
  3. Step 3: Cross multiply
    29,691.69x = 44,539.06 × 7,505.25
  4. Step 4: Simplify right side
    29,691.69x = 334,276,942.40
  5. Step 5: Solve for x
    x = 334,276,942.40/29,691.69
  6. Step 6: Final answer
    x = 11,258.27

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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.