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Finding the Fourth Proportional to 30,645.69, 45,869.92 and 20,730.35

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Solution

The fourth proportional to 30,645.69, 45,869.92 and 20,730.35 is: 31,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645.69 : 45,869.92 = 20,730.35 : x
  2. Step 2: Convert to fraction form
    30,645.69/45,869.92 = 20,730.35/x
  3. Step 3: Cross multiply
    30,645.69x = 45,869.92 × 20,730.35
  4. Step 4: Simplify right side
    30,645.69x = 950,899,214.90
  5. Step 5: Solve for x
    x = 950,899,214.90/30,645.69
  6. Step 6: Final answer
    x = 31,028.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.