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Finding the Fourth Proportional to 43,604.70, 65,407.05 and 31,098.30

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Solution

The fourth proportional to 43,604.70, 65,407.05 and 31,098.30 is: 46,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,604.70 : 65,407.05 = 31,098.30 : x
  2. Step 2: Convert to fraction form
    43,604.70/65,407.05 = 31,098.30/x
  3. Step 3: Cross multiply
    43,604.70x = 65,407.05 × 31,098.30
  4. Step 4: Simplify right side
    43,604.70x = 2,034,048,063.02
  5. Step 5: Solve for x
    x = 2,034,048,063.02/43,604.70
  6. Step 6: Final answer
    x = 46,647.45

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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.