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Finding the Fourth Proportional to 43,815.40, 65,732.70 and 14,228.20

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Solution

The fourth proportional to 43,815.40, 65,732.70 and 14,228.20 is: 21,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,815.40 : 65,732.70 = 14,228.20 : x
  2. Step 2: Convert to fraction form
    43,815.40/65,732.70 = 14,228.20/x
  3. Step 3: Cross multiply
    43,815.40x = 65,732.70 × 14,228.20
  4. Step 4: Simplify right side
    43,815.40x = 935,258,002.14
  5. Step 5: Solve for x
    x = 935,258,002.14/43,815.40
  6. Step 6: Final answer
    x = 21,345.42

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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.