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Finding the Fourth Proportional to 30,033.06, 41,448.18 and 17,457

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Solution

The fourth proportional to 30,033.06, 41,448.18 and 17,457 is: 24,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,033.06 : 41,448.18 = 17,457 : x
  2. Step 2: Convert to fraction form
    30,033.06/41,448.18 = 17,457/x
  3. Step 3: Cross multiply
    30,033.06x = 41,448.18 × 17,457
  4. Step 4: Simplify right side
    30,033.06x = 723,560,878.26
  5. Step 5: Solve for x
    x = 723,560,878.26/30,033.06
  6. Step 6: Final answer
    x = 24,092.15

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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.