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Finding the Fourth Proportional to 30,043.95, 41,459.40 and 16,431.78

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Solution

The fourth proportional to 30,043.95, 41,459.40 and 16,431.78 is: 22,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,043.95 : 41,459.40 = 16,431.78 : x
  2. Step 2: Convert to fraction form
    30,043.95/41,459.40 = 16,431.78/x
  3. Step 3: Cross multiply
    30,043.95x = 41,459.40 × 16,431.78
  4. Step 4: Simplify right side
    30,043.95x = 681,251,708.21
  5. Step 5: Solve for x
    x = 681,251,708.21/30,043.95
  6. Step 6: Final answer
    x = 22,675.17

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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.