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Finding the Fourth Proportional to 30,429.47, 41,991.90 and 17,000.83

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Solution

The fourth proportional to 30,429.47, 41,991.90 and 17,000.83 is: 23,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429.47 : 41,991.90 = 17,000.83 : x
  2. Step 2: Convert to fraction form
    30,429.47/41,991.90 = 17,000.83/x
  3. Step 3: Cross multiply
    30,429.47x = 41,991.90 × 17,000.83
  4. Step 4: Simplify right side
    30,429.47x = 713,897,119.54
  5. Step 5: Solve for x
    x = 713,897,119.54/30,429.47
  6. Step 6: Final answer
    x = 23,460.71

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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.