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Finding the Fourth Proportional to 43,744.71, 65,646.02 and 24,037

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Solution

The fourth proportional to 43,744.71, 65,646.02 and 24,037 is: 36,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,744.71 : 65,646.02 = 24,037 : x
  2. Step 2: Convert to fraction form
    43,744.71/65,646.02 = 24,037/x
  3. Step 3: Cross multiply
    43,744.71x = 65,646.02 × 24,037
  4. Step 4: Simplify right side
    43,744.71x = 1,577,933,382.74
  5. Step 5: Solve for x
    x = 1,577,933,382.74/43,744.71
  6. Step 6: Final answer
    x = 36,071.41

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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.