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Finding the Fourth Proportional to 30,239.63, 45,262.40 and 16,164.46

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Solution

The fourth proportional to 30,239.63, 45,262.40 and 16,164.46 is: 24,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,239.63 : 45,262.40 = 16,164.46 : x
  2. Step 2: Convert to fraction form
    30,239.63/45,262.40 = 16,164.46/x
  3. Step 3: Cross multiply
    30,239.63x = 45,262.40 × 16,164.46
  4. Step 4: Simplify right side
    30,239.63x = 731,642,230.06
  5. Step 5: Solve for x
    x = 731,642,230.06/30,239.63
  6. Step 6: Final answer
    x = 24,194.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.