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Finding the Fourth Proportional to 30,130, 41,578.12 and 16,701.20

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Solution

The fourth proportional to 30,130, 41,578.12 and 16,701.20 is: 23,046.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,130 : 41,578.12 = 16,701.20 : x
  2. Step 2: Convert to fraction form
    30,130/41,578.12 = 16,701.20/x
  3. Step 3: Cross multiply
    30,130x = 41,578.12 × 16,701.20
  4. Step 4: Simplify right side
    30,130x = 694,404,497.74
  5. Step 5: Solve for x
    x = 694,404,497.74/30,130
  6. Step 6: Final answer
    x = 23,046.95

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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.