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Finding the Fourth Proportional to 33,645.29, 46,430.58 and 20,216.76

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Solution

The fourth proportional to 33,645.29, 46,430.58 and 20,216.76 is: 27,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,645.29 : 46,430.58 = 20,216.76 : x
  2. Step 2: Convert to fraction form
    33,645.29/46,430.58 = 20,216.76/x
  3. Step 3: Cross multiply
    33,645.29x = 46,430.58 × 20,216.76
  4. Step 4: Simplify right side
    33,645.29x = 938,676,100.69
  5. Step 5: Solve for x
    x = 938,676,100.69/33,645.29
  6. Step 6: Final answer
    x = 27,899.19

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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.