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Finding the Fourth Proportional to 29,735.94, 44,603.79 and 7,549.23

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Solution

The fourth proportional to 29,735.94, 44,603.79 and 7,549.23 is: 11,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,735.94 : 44,603.79 = 7,549.23 : x
  2. Step 2: Convert to fraction form
    29,735.94/44,603.79 = 7,549.23/x
  3. Step 3: Cross multiply
    29,735.94x = 44,603.79 × 7,549.23
  4. Step 4: Simplify right side
    29,735.94x = 336,724,269.58
  5. Step 5: Solve for x
    x = 336,724,269.58/29,735.94
  6. Step 6: Final answer
    x = 11,323.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.