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Finding the Fourth Proportional to 30,056.98, 41,475.02 and 17,314.33

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Solution

The fourth proportional to 30,056.98, 41,475.02 and 17,314.33 is: 23,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,056.98 : 41,475.02 = 17,314.33 : x
  2. Step 2: Convert to fraction form
    30,056.98/41,475.02 = 17,314.33/x
  3. Step 3: Cross multiply
    30,056.98x = 41,475.02 × 17,314.33
  4. Step 4: Simplify right side
    30,056.98x = 718,111,954.02
  5. Step 5: Solve for x
    x = 718,111,954.02/30,056.98
  6. Step 6: Final answer
    x = 23,891.69

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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.