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Finding the Fourth Proportional to 30,283.96, 45,424.02 and 14,500.24

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Solution

The fourth proportional to 30,283.96, 45,424.02 and 14,500.24 is: 21,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283.96 : 45,424.02 = 14,500.24 : x
  2. Step 2: Convert to fraction form
    30,283.96/45,424.02 = 14,500.24/x
  3. Step 3: Cross multiply
    30,283.96x = 45,424.02 × 14,500.24
  4. Step 4: Simplify right side
    30,283.96x = 658,659,191.76
  5. Step 5: Solve for x
    x = 658,659,191.76/30,283.96
  6. Step 6: Final answer
    x = 21,749.44

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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.