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Finding the Fourth Proportional to 33,457.12, 46,151.58 and 20,860

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Solution

The fourth proportional to 33,457.12, 46,151.58 and 20,860 is: 28,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,457.12 : 46,151.58 = 20,860 : x
  2. Step 2: Convert to fraction form
    33,457.12/46,151.58 = 20,860/x
  3. Step 3: Cross multiply
    33,457.12x = 46,151.58 × 20,860
  4. Step 4: Simplify right side
    33,457.12x = 962,721,958.80
  5. Step 5: Solve for x
    x = 962,721,958.80/33,457.12
  6. Step 6: Final answer
    x = 28,774.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.