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Finding the Fourth Proportional to 30,042.81, 41,459.34 and 16,614.96

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Solution

The fourth proportional to 30,042.81, 41,459.34 and 16,614.96 is: 22,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,042.81 : 41,459.34 = 16,614.96 : x
  2. Step 2: Convert to fraction form
    30,042.81/41,459.34 = 16,614.96/x
  3. Step 3: Cross multiply
    30,042.81x = 41,459.34 × 16,614.96
  4. Step 4: Simplify right side
    30,042.81x = 688,845,275.73
  5. Step 5: Solve for x
    x = 688,845,275.73/30,042.81
  6. Step 6: Final answer
    x = 22,928.79

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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.