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Finding the Fourth Proportional to 43,706.56, 65,562.30 and 12,541

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Solution

The fourth proportional to 43,706.56, 65,562.30 and 12,541 is: 18,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,706.56 : 65,562.30 = 12,541 : x
  2. Step 2: Convert to fraction form
    43,706.56/65,562.30 = 12,541/x
  3. Step 3: Cross multiply
    43,706.56x = 65,562.30 × 12,541
  4. Step 4: Simplify right side
    43,706.56x = 822,216,804.30
  5. Step 5: Solve for x
    x = 822,216,804.30/43,706.56
  6. Step 6: Final answer
    x = 18,812.21

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Why These Related Problems?

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