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Finding the Fourth Proportional to 30,250, 41,745 and 17,002

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Solution

The fourth proportional to 30,250, 41,745 and 17,002 is: 23,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,250 : 41,745 = 17,002 : x
  2. Step 2: Convert to fraction form
    30,250/41,745 = 17,002/x
  3. Step 3: Cross multiply
    30,250x = 41,745 × 17,002
  4. Step 4: Simplify right side
    30,250x = 709,748,490
  5. Step 5: Solve for x
    x = 709,748,490/30,250
  6. Step 6: Final answer
    x = 23,462.76

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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.