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Finding the Fourth Proportional to 30,265.20, 45,343.80 and 14,648.40

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Solution

The fourth proportional to 30,265.20, 45,343.80 and 14,648.40 is: 21,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,265.20 : 45,343.80 = 14,648.40 : x
  2. Step 2: Convert to fraction form
    30,265.20/45,343.80 = 14,648.40/x
  3. Step 3: Cross multiply
    30,265.20x = 45,343.80 × 14,648.40
  4. Step 4: Simplify right side
    30,265.20x = 664,214,119.92
  5. Step 5: Solve for x
    x = 664,214,119.92/30,265.20
  6. Step 6: Final answer
    x = 21,946.46

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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.