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Finding the Fourth Proportional to 30,412.61, 41,966.97 and 16,983.06

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Solution

The fourth proportional to 30,412.61, 41,966.97 and 16,983.06 is: 23,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.61 : 41,966.97 = 16,983.06 : x
  2. Step 2: Convert to fraction form
    30,412.61/41,966.97 = 16,983.06/x
  3. Step 3: Cross multiply
    30,412.61x = 41,966.97 × 16,983.06
  4. Step 4: Simplify right side
    30,412.61x = 712,727,569.53
  5. Step 5: Solve for x
    x = 712,727,569.53/30,412.61
  6. Step 6: Final answer
    x = 23,435.27

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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.