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Finding the Fourth Proportional to 30,033.56, 41,448.87 and 17,457.50

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Solution

The fourth proportional to 30,033.56, 41,448.87 and 17,457.50 is: 24,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,033.56 : 41,448.87 = 17,457.50 : x
  2. Step 2: Convert to fraction form
    30,033.56/41,448.87 = 17,457.50/x
  3. Step 3: Cross multiply
    30,033.56x = 41,448.87 × 17,457.50
  4. Step 4: Simplify right side
    30,033.56x = 723,593,648.03
  5. Step 5: Solve for x
    x = 723,593,648.03/30,033.56
  6. Step 6: Final answer
    x = 24,092.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.