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Finding the Fourth Proportional to 43,693, 65,539.74 and 10,861

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Solution

The fourth proportional to 43,693, 65,539.74 and 10,861 is: 16,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,693 : 65,539.74 = 10,861 : x
  2. Step 2: Convert to fraction form
    43,693/65,539.74 = 10,861/x
  3. Step 3: Cross multiply
    43,693x = 65,539.74 × 10,861
  4. Step 4: Simplify right side
    43,693x = 711,827,116.14
  5. Step 5: Solve for x
    x = 711,827,116.14/43,693
  6. Step 6: Final answer
    x = 16,291.56

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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.