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Finding the Fourth Proportional to 43,842, 65,763.24 and 11,010

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Solution

The fourth proportional to 43,842, 65,763.24 and 11,010 is: 16,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,842 : 65,763.24 = 11,010 : x
  2. Step 2: Convert to fraction form
    43,842/65,763.24 = 11,010/x
  3. Step 3: Cross multiply
    43,842x = 65,763.24 × 11,010
  4. Step 4: Simplify right side
    43,842x = 724,053,272.40
  5. Step 5: Solve for x
    x = 724,053,272.40/43,842
  6. Step 6: Final answer
    x = 16,515.06

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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.